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 Wasow, Wolfgang R. (Wolfgang Richard), 19091993, author.
 Dover edition.  Mineola, New York : Dover Publications, Inc., 2018.
 Description
 Book — ix, 374 pages ; 22 cm
 Online
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QA371 .W33 2018  Unknown 
 Stynes, M. (Martin), 1951 author.
 Providence, Rhode Island : American Mathematical Society ; Halifax, Nova Scotia, Canada : Atlantic Association for Research in the Mathematical Sciences, [2018]
 Description
 Book — viii, 156 pages : illustrations ; 27 cm.
 Summary

 Introduction and preliminary material Convectiondiffusion problems in one dimension Finite difference methods in one dimension Convectiondiffusion problems in two dimensions Finite difference methods in two dimensions Finite element methods Concluding remarks Bibliography Index.
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QA377 .S8785 2018  Unknown 
3. Differential equations & linear algebra [2018]
 Edwards, C. Henry (Charles Henry), 1937 author.
 Fourth edition.  Boston : Pearson, [2018]
 Description
 Book — xiii, 739 pages : illustrations ; 26 cm
 Summary

 1. FirstOrder Differential Equations 1.1 Differential Equations and Mathematical Models 1.2 Integrals as General and Particular Solutions 1.3 Slope Fields and Solution Curves 1.4 Separable Equations and Applications 1.5 Linear FirstOrder Equations 1.6 Substitution Methods and Exact Equations
 2. Mathematical Models and Numerical Methods 2.1 Population Models 2.2 Equilibrium Solutions and Stability 2.3 AccelerationVelocity Models 2.4 Numerical Approximation: Euler's Method 2.5 A Closer Look at the Euler Method 2.6 The RungeKutta Method
 3. Linear Systems and Matrices 3.1 Introduction to Linear Systems 3.2 Matrices and Gaussian Elimination 3.3 Reduced RowEchelon Matrices 3.4 Matrix Operations 3.5 Inverses of Matrices 3.6 Determinants 3.7 Linear Equations and Curve Fitting
 4. Vector Spaces 4.1 The Vector Space R3 4.2 The Vector Space Rn and Subspaces 4.3 Linear Combinations and Independence of Vectors 4.4 Bases and Dimension for Vector Spaces 4.5 Row and Column Spaces 4.6 Orthogonal Vectors in Rn 4.7 General Vector Spaces
 5. HigherOrder Linear Differential Equations 5.1 Introduction: SecondOrder Linear Equations 5.2 General Solutions of Linear Equations 5.3 Homogeneous Equations with Constant Coefficients 5.4 Mechanical Vibrations 5.5 Nonhomogeneous Equations and Undetermined Coefficients 5.6 Forced Oscillations and Resonance
 6. Eigenvalues and Eigenvectors 6.1 Introduction to Eigenvalues 6.2 Diagonalization of Matrices 6.3 Applications Involving Powers of Matrices
 7. Linear Systems of Differential Equations 7.1 FirstOrder Systems and Applications 7.2 Matrices and Linear Systems 7.3 The Eigenvalue Method for Linear Systems 7.4 A Gallery of Solution Curves of Linear Systems 7.5 SecondOrder Systems and Mechanical Applications 7.6 Multiple Eigenvalue Solutions 7.7 Numerical Methods for Systems
 8. Matrix Exponential Methods 8.1 Matrix Exponentials and Linear Systems 8.2 Nonhomogeneous Linear Systems 8.3 Spectral Decomposition Methods
 9. Nonlinear Systems and Phenomena 9.1 Stability and the Phase Plane 9.2 Linear and Almost Linear Systems 9.3 Ecological Models: Predators and Competitors 9.4 Nonlinear Mechanical Systems
 10. Laplace Transform Methods 10.1 Laplace Transforms and Inverse Transforms 10.2 Transformation of Initial Value Problems 10.3 Translation and Partial Fractions 10.4 Derivatives, Integrals, and Products of Transforms 10.5 Periodic and Piecewise Continuous Input Functions
 11. Power Series Methods 11.1 Introduction and Review of Power Series 11.2 Power Series Solutions 11.3 Frobenius Series Solutions 11.4 Bessel Functions
 Appendix A: Existence and Uniqueness of Solutions Appendix B: Theory of Determinants
 APPLICATION MODULES The modules listed below follow the indicated sections in the text. Most provide computing projects that illustrate the corresponding text sections. Many of these modules are enhanced by the supplementary material found at the new Expanded Applications website.
 1.3 ComputerGenerated Slope Fields and Solution Curves 1.4 The Logistic Equation 1.5 Indoor Temperature Oscillations 1.6 Computer Algebra Solutions 2.1 Logistic Modeling of Population Data 2.3 Rocket Propulsion 2.4 Implementing Euler's Method 2.5 Improved Euler Implementation 2.6 RungeKutta Implementation 3.2 Automated Row Operations 3.3 Automated Row Reduction 3.5 Automated Solution of Linear Systems 5.1 Plotting SecondOrder Solution Families 5.2 Plotting ThirdOrder Solution Families 5.3 Approximate Solutions of Linear Equations 5.5 Automated Variation of Parameters 5.6 Forced Vibrations and Resonance 7.1 Gravitation and Kepler's Laws of Planetary Motion 7.3 Automatic Calculation of Eigenvalues and Eigenvectors 7.4 Dynamic Phase Plane Graphics 7.5 EarthquakeInduced Vibrations of Multistory Buildings 7.6 Defective Eigenvalues and Generalized Eigenvectors 7.7 Comets and Spacecraft 8.1 Automated Matrix Exponential Solutions 8.2 Automated Variation of Parameters 9.1 Phase Portraits and FirstOrder Equations 9.2 Phase Portraits of Almost Linear Systems 9.3 Your Own Wildlife Conservation Preserve 9.4 The Rayleigh and van der Pol Equations.
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QA372 .E34 2018  Unavailable Missing Request 
 Polking, John C., author.
 Second edition [2018 reissue].  New York, NY : Pearson, [2018]
 Description
 Book — xii, 703, A41, I7 pages ; 26 cm.
 Summary

 Chapter 1: Introduction to Differential Equations Differential Equation Models. The Derivative. Integration.
 Chapter 2: FirstOrder Equations Differential Equations and Solutions. Solutions to Separable Equations. Models of Motion. Linear Equations. Mixing Problems. Exact Differential Equations. Existence and Uniqueness of Solutions. Dependence of Solutions on Initial Conditions. Autonomous Equations and Stability. Project 2.10 The Daredevil Skydiver.
 Chapter 3: Modeling and Applications Modeling Population Growth. Models and the Real World. Personal Finance. Electrical Circuits. Project 3.5 The Spruce Budworm. Project 3.6 Social Security, Now or Later.
 Chapter 4: SecondOrder Equations Definitions and Examples. SecondOrder Equations and Systems. Linear, Homogeneous Equations with Constant Coefficients. Harmonic Motion. Inhomogeneous Equations the Method of Undetermined Coefficients. Variation of Parameters. Forced Harmonic Motion. Project 4.8 Nonlinear Oscillators.
 Chapter 5: The Laplace Transform The Definition of the Laplace Transform. Basic Properties of the Laplace Transform
 241. The Inverse Laplace Transform Using the Laplace Transform to Solve Differential Equations. Discontinuous Forcing Terms. The Delta Function. Convolutions. Summary. Project 5.9 Forced Harmonic Oscillators.
 Chapter 6: Numerical Methods Euler's Method. RungeKutta Methods. Numerical Error Comparisons. Practical Use of Solvers. A Cautionary Tale. Project 6.6 Numerical Error Comparison.
 Chapter 7: Matrix Algebra Vectors and Matrices. Systems of Linear Equations with Two or Three Variables. Solving Systems of Equations. Homogeneous and Inhomogeneous Systems. Bases of a subspace. Square Matrices. Determinants.
 Chapter 8: An Introduction to Systems Definitions and Examples. Geometric Interpretation of Solutions. Qualitative Analysis. Linear Systems. Properties of Linear Systems. Project 8.6 LongTerm Behavior of Solutions.
 Chapter 9: Linear Systems with Constant Coefficients Overview of the Technique. Planar Systems. Phase Plane Portraits. The TraceDeterminant Plane. Higher Dimensional Systems. The Exponential of a Matrix. Qualitative Analysis of Linear Systems. HigherOrder Linear Equations. Inhomogeneous Linear Systems. Project 9.10 Phase Plane Portraits. Project 9.11 Oscillations of Linear Molecules.
 Chapter 10: Nonlinear Systems The Linearization of a Nonlinear System. LongTerm Behavior of Solutions. Invariant Sets and the Use of Nullclines. LongTerm Behavior of Solutions to Planar Systems. Conserved Quantities. Nonlinear Mechanics. The Method of Lyapunov. PredatorPrey Systems. Project 10.9 Human Immune Response to Infectious Disease. Project 10.10 Analysis of Competing Species.
 Chapter 11: Series Solutions to Differential Equations Review of Power Series. Series Solutions Near Ordinary Points. Legendre's Equation. Types of Singular PointsEuler's Equation. Series Solutions Near Regular Singular Points. Series Solutions Near Regular Singular Points  the General Case. Bessel's Equation and Bessel Functions
 Chapter 12: Fourier Series Computation of Fourier Series. Convergence of Fourier Series. Fourier Cosine and Sine Series. The Complex Form of a Fourier Series. The Discrete Fourier Transform and the FFT.
 Chapter 13: Partial Differential Equations Derivation of the Heat Equation. Separation of Variables for the Heat Equation. The Wave Equation. Laplace's Equation. Laplace's Equation on a Disk. Sturm Liouville Problems. Orthogonality and Generalized Fourier Series. Temperature in a BallLegendre Polynomials. Time Dependent PDEs in Higher Dimension. Domains with Circular SymmetryBessel Functions. Appendix: Complex Numbers and Matrices Answers to OddNumbered Problems Index.
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QA371 .D4495 2018  Unknown 
 International Workshop on Operator Theory and Applications (28th : 2017 : Chemnitz, Germany), author.
 Cham : Birkhäuser, [2018]
 Description
 Book — xv, 504 pages : illustrations (some color) ; 25 cm.
 Summary

 Preface
 Participants
 Standard versus strict bounded real lemma with infinitedimensional state space II : the storage function approach / J.A. Ball, G.J. Groenewald and S. ter Horst
 Eigenvalues of even very nice Toeplitz matrices can be unexpectedly erratic / M. Barrera, A. Böttcher, S.M. Grudsky and E.A. Maximenko
 Spectral regularity of a C*algebra generated by twodimensional singular integral operators / H. Bart, T. Ehrhardt and B. Silbermann
 A spectral shift function for Schrodinger operators with singular interactions / J. Behrndt, F. Gesztesy and S. Nakamura
 Quantum graph with the Dirac operator and resonance states completeness / I.V. Blinova and I.Y. Popov
 Robert Sheckley's answerer for two orthogonal projections / A. Böttcher and I.M. Spitkovsky
 Toeplitz kernels and model spaces / M.C. Câmara and J.R. Partington
 Frames, operator representations, and open problems / O. Christensen and M. Hasannasab
 A survey on solvable sesquilinear forms / R. Corso
 An application of limiting interpolation to Fourier series theory / L.R. Ya. Doktorski
 Isomorphisms of AC (...) spaces for countable sets / I. Doust and S. Alshakarchi
 Restricted inversion of splitBezoutians / T. Ehrhardt and K. Rost
 S. Gefter and A. Goncharuk : Generalized backward shift operators on the ring Zf[[...]], Cramer's rule for infinite linear systems, and padic integers
 Feynman path integral regularization using Fourier Integral Operator ...functions / T. Hartung
 Improving Monte Carlo integration by symmetrization / T. Hartung, K. Jansen, H. Leövey and J. Volmer
 More on the density of analytic polynomials in abstract Hardy spaces / A. Karlovich and E. Shargorodsky
 Pseudodifferential operators with compound nonregular symbols / Yu.I. Karlovich
 Asymptotically sharp inequalities for polynomials involving mixed Hermite norms / H. Langenau
 A twoparameter eigenvalue problem for a class of blockoperator matrices / M. Levitin and H.M. öztürk
 Finite sections of the Fibonacci Hamiltonian / M. Lindner and H. Söding
 Spectral asymptotics for Toeplitz operators and an application to banded matrices / A. Pushnitski
 Beyond fractality : piecewise fractal and quasifractal algebras / S. Roch
 Unbounded operators on Hilbert C*modules and C*algebras / K. Schmiidgen
 A characterization of positive normal functionals on the full operator algebra / Z. Sebestyén, Zs. Tarcsay and T. Titkos
 The linearised Kortewegde Vries equation on general metric graphs / C. Seifert
 Bounded multiplicative Toeplitz operators on sequence spaces / N. Thorn
 On higher index differentialalgebraic equations in infinite dimensions / S. Trostorff and M. Waurick
 Characterizations of centrality by local convexity of certain functions on C*algebras / D. Virosztek
 Doublescaling limits of Toeplitz determinants and FisherHartwig singularities / J. A. Virtanen.
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QA329 .I585 2017  Unknown 
6. Exploring ODEs [2018]
 Trefethen, Lloyd N. (Lloyd Nicholas), author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2018]
 Description
 Book — vii, 335 pages ; 27 cm
 Summary

 Preface to the Classics Edition Preface Errata Introduction
 Chapter 1: Number Systems and Errors
 Chapter 2: Interpolation by Polynomial
 Chapter 3: The Solution of Nonlinear Equations
 Chapter 4: Matrices and Systems of Linear Equations
 Chapter 5: Systems of Equations and Unconstrained Optimization
 Chapter 6: Approximation
 Chapter 7: Differentiation and Integration
 Chapter 8: The Solution of Differential Equations
 Chapter 9: Boundary Value Problems Appendix: Subroutine Libraries Appendix: New MATLAB Programs References Index.
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QA371 .T67 2018  Unknown 
7. Finite element exterior calculus [2018]
 Arnold, Douglas N., 1954 author.
 Philadelphia : Society for Industrial and Applied Mathematics, [2018]
 Description
 Book — xi, 120 pages : illustrations (some color) ; 26 cm.
 Summary

 Introduction
 Basic notions of homological algebra
 Basic notions of unbounded operators on Hilbert spaces
 Hilbert complexes
 Approximation of Hilbert complexes
 Basic notions of exterior calculus
 Finite element differential forms
 Further directions and applications.
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QA372 .A6845 2018  Unknown 
 Zill, Dennis G., 1940 author.
 11E. Student edition.  Boston, MA : Cengage Learning, [2018]
 Description
 Book — 1 volume (various pagings) : illustrations (some color) ; 29 cm
 Summary

 1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. InitialValue Problems. Differential Equations as Mathematical Models.
 Chapter 1 in Review.
 2. FIRSTORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method.
 Chapter 2 in Review.
 3. MODELING WITH FIRSTORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of FirstOrder Differential Equations.
 Chapter 3 in Review.
 4. HIGHERORDER DIFFERENTIAL EQUATIONS. Preliminary TheoryLinear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined CoefficientsSuperposition Approach. Undetermined CoefficientsAnnihilator Approach. Variation of Parameters. CauchyEuler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations.
 Chapter 4 in Review.
 5. MODELING WITH HIGHERORDER DIFFERENTIAL EQUATIONS. Linear Models: InitialValue Problems. Linear Models: BoundaryValue Problems. Nonlinear Models.
 Chapter 5 in Review.
 6. SERIES SOLUTIONS OF LINEAR EQUATIONS. Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions.
 Chapter 6 in Review.
 7. LAPLACE TRANSFORM. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations.
 Chapter 7 in Review.
 8. SYSTEMS OF LINEAR FIRSTORDER DIFFERENTIAL EQUATIONS. Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential.
 Chapter 8 in Review.
 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods. RungeKutta Methods. Multistep Methods. HigherOrder Equations and Systems. SecondOrder BoundaryValue Problems.
 Chapter 9 in Review.
 Appendix I. Gamma Function.
 Appendix II. Matrices.
 Appendix III. Laplace Transforms. Answers for Selected OddNumbered Problems.
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QA372 .Z54 2018  Unknown 
9. Fundamentals of differential equations [2018]
 Nagle, R. Kent.
 Ninth edition.  Boston : Pearson, [2018]
 Description
 Book — 1 volume (various pagings) ; 26 cm
 Summary

 1. Introduction 1.1 Background 1.2 Solutions and Initial Value Problems 1.3 Direction Fields 1.4 The Approximation Method of Euler
 2. FirstOrder Differential Equations 2.1 Introduction: Motion of a Falling Body 2.2 Separable Equations 2.3 Linear Equations 2.4 Exact Equations 2.5 Special Integrating Factors 2.6 Substitutions and Transformations
 3. Mathematical Models and Numerical Methods Involving First Order Equations 3.1 Mathematical Modeling 3.2 Compartmental Analysis 3.3 Heating and Cooling of Buildings 3.4 Newtonian Mechanics 3.5 Electrical Circuits 3.6 Improved Euler's Method 3.7 HigherOrder Numerical Methods: Taylor and RungeKutta
 4. Linear SecondOrder Equations 4.1 Introduction: The MassSpring Oscillator 4.2 Homogeneous Linear Equations: The General Solution 4.3 Auxiliary Equations with Complex Roots 4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients 4.5 The Superposition Principle and Undetermined Coefficients Revisited 4.6 Variation of Parameters 4.7 VariableCoefficient Equations 4.8 Qualitative Considerations for VariableCoefficient and Nonlinear Equations 4.9 A Closer Look at Free Mechanical Vibrations 4.10 A Closer Look at Forced Mechanical Vibrations
 5. Introduction to Systems and Phase Plane Analysis 5.1 Interconnected Fluid Tanks 5.2 Elimination Method for Systems with Constant Coefficients 5.3 Solving Systems and HigherOrder Equations Numerically 5.4 Introduction to the Phase Plane 5.5 Applications to Biomathematics: Epidemic and Tumor Growth Models 5.6 Coupled MassSpring Systems 5.7 Electrical Systems 5.8 Dynamical Systems, Poincare Maps, and Chaos
 6. Theory of HigherOrder Linear Differential Equations 6.1 Basic Theory of Linear Differential Equations 6.2 Homogeneous Linear Equations with Constant Coefficients 6.3 Undetermined Coefficients and the Annihilator Method 6.4 Method of Variation of Parameters
 7. Laplace Transforms 7.1 Introduction: A Mixing Problem 7.2 Definition of the Laplace Transform 7.3 Properties of the Laplace Transform 7.4 Inverse Laplace Transform 7.5 Solving Initial Value Problems 7.6 Transforms of Discontinuous Functions 7.7 Transforms of Periodic and Power Functions 7.8 Convolution 7.9 Impulses and the Dirac Delta Function 7.10 Solving Linear Systems with Laplace Transforms
 8. Series Solutions of Differential Equations 8.1 Introduction: The Taylor Polynomial Approximation 8.2 Power Series and Analytic Functions 8.3 Power Series Solutions to Linear Differential Equations 8.4 Equations with Analytic Coefficients 8.5 CauchyEuler (Equidimensional) Equations 8.6 Method of Frobenius 8.7 Finding a Second Linearly Independent Solution 8.8 Special Functions
 9. Matrix Methods for Linear Systems 9.1 Introduction 9.2 Review
 1: Linear Algebraic Equations 9.3 Review
 2: Matrices and Vectors 9.4 Linear Systems in Normal Form 9.5 Homogeneous Linear Systems with Constant Coefficients 9.6 Complex Eigenvalues 9.7 Nonhomogeneous Linear Systems 9.8 The Matrix Exponential Function
 10. Partial Differential Equations 10.1 Introduction: A Model for Heat Flow 10.2 Method of Separation of Variables 10.3 Fourier Series 10.4 Fourier Cosine and Sine Series 10.5 The Heat Equation 10.6 The Wave Equation 10.7 Laplace's Equation
 Appendix A Newton's Method Appendix B Simpson's Rule Appendix C Cramer's Rule Appendix D Method of Least Squares Appendix E RungeKutta Procedure for n Equations.
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QA371 .N24 2018  Unknown 
 Handbook of exact solutions for ordinary differential equations
 Poli͡anin, A. D. (Andreĭ Dmitrievich), author.
 Boca Raton : CRC Press, 2018.
 Description
 Book — xxix, 1456 pages ; 26 cm
 Summary

 EXACT SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS: FirstOrder Differential Equations. SecondOrder Differential Equations. ThirdOrder Differential Equations. FourthOrder Differential Equations. HigherOrder Differential Equations. Systems of Ordinary Differential Equations. SOLVING METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS: FirstOrder Differential Equations. SecondOrder Linear Differential Equations. SecondOrder Nonlinear Differential Equations. Linear Equations of Arbitrary Order. Nonlinear Equations of Arbitrary Order. Analytic Ordinary Differential Equations and Their Local Classification. Lie Group and Discrete Group Methods. Linear Systems of Ordinary Differential Equations. Nonlinear Systems of Ordinary Differential Equations. Integrability of Polynomial Differential Systems. Hamiltonian Systems, Periodic, and Homoclinic Solutions by Variational Methods. Bifurcation Theory of Limit Cycle of Planar Systems. Successive Approximation Method for Nonlinear Boundary Value Problems. Application of Integral Equations for the Investigation of Differential Equations. Exact Methods for Construction of Particular Solutions for Nonlinear Equations. SYMBOLIC AND NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS WITH MAPLE, MATHEMATICA, AND MATLAB: Ordinary Differential Equations with Maple. Ordinary Differential Equations with Mathematica. Ordinary Differential Equations with MATLAB. Supplements. References. Index.
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QA372 .P7255 2017  Unknown 
 Deng, Yuefan, author.
 Second edition.  Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., 2018.
 Description
 Book — x, 561 pages : illustrations ; 24 cm
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QA372 .D42 2018  Unknown 
 Singapore ; Hackensack, NJ : World Scientific, 2018
 Description
 Book — volumes ; 24 cm.
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QA372 .O7218 2018 V.1  Unknown 
 Klein, Sebastian, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — viii, 332 pages : illustrations ; 24 cm.
 Summary

  Part I Spectral Data.  Introduction.  Minimal Immersions into the 3Sphere and the SinhGordon Equation.  Spectral Data for Simply Periodic Solutions of the SinhGordon Equation.  Part II The Asymptotic Behavior of the Spectral Data.  The Vacuum Solution.  The Basic Asymptotic of the Monodromy.  Basic Behavior of the Spectral Data.  The Fourier Asymptotic of the Monodromy.  The Consequences of the Fourier Asymptotic for the Spectral Data.  Part III The Inverse Problem for the Monodromy.  Asymptotic Spaces of Holomorphic Functions.  Interpolating Holomorphic Functions.  Final Description of the Asymptotic of the Monodromy.  Nonspecial Divisors and the Inverse Problem for the Monodromy.  Part IV The Inverse Problem for Periodic Potentials (Cauchy Data).  Divisors of Finite Type.  Darboux Coordinates for the Space of Potentials.  The Inverse Problem for Cauchy Data Along the Real Line.  Part V The Jacobi Variety of the Spectral Curve.  Estimate of Certain Integrals.  Asymptotic Behavior of 1Forms on the Spectral Curve.  Construction of the Jacobi Variety for the Spectral Curve.  The Jacobi Variety and Translations of the Potential.  Asymptotics of Spectral Data for Potentials on a Horizontal Strip.  Perspectives.
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Shelved by Series title V.2229  Unknown 
 Magal, Pierre, author.
 Cham, Switzerland : Springer, [2018]
 Description
 Book — xxii, 543 pages ; 24 cm.
 Summary

 Introduction
 Ordinary Differential Equations
 Spectral Properties of Matrices
 State Space Decomposition
 Semilinear Systems
 Retarded Functional Differential Equations
 Existence and Uniqueness of Solutions
 Linearized Equation at an Equilibrium
 Characteristic Equations
 Center Manifolds
 AgeStructured Models
 Volterra Formulation
 AgeStructured Models Without Birth
 AgeStructured Models with Birth
 Equilibria and Linearized Equations
 AgeStructured Models Reduce to DDEs and ODEs
 Abstract Semilinear Formulation
 Functional Differential Equations
 AgeStructured Models
 SizeStructured Models
 Partial Functional Differential Equations
 Remarks and Notes
 Semigroups and HilleYosida Theorem
 Semigroups
 Bounded Case
 Unbounded Case
 Resolvents
 Infinitesimal Generators
 HilleYosida Theorem
 Nonhomogeneous Cauchy Problem
 Examples
 Remarks and Notes
 Integrated Semigroups and Cauchy Problems with Nondense Domain
 Preliminaries
 Integrated Semigroups
 Exponentially Bounded Integrated Semigroups
 Existence of Mild Solutions
 Bounded Perturbation
 The HilleYosida Case
 The NonHilleYosida Case
 Remarks and Notes
 Spectral Theory for Linear Operators
 Basic Properties of Analytic Maps
 Spectra and Resolvents of Linear Operators
 Spectral Theory of Bounded Linear Operators
 Essential Growth Bound of Linear Operators
 Spectral Decomposition of the State Space
 Asynchronous Exponential Growth of Linear Operators
 Remarks and Notes
 Semilinear Cauchy Problems with Nondense Domain
 Introduction
 Existence and Uniqueness of a Maximal Semiflow : The Blowup Condition
 Positivity
 Lipschitz Perturbation
 Differentiability with Respect to the State Variable
 Time Differentiability and Classical Solutions
 Stability of Equilibria
 Remarks and Notes
 Center Manifolds, Hopf Bifurcation, and Normal Forms
 Center Manifold Theory
 Existence of Center Manifolds
 Smoothness of Center Manifolds
 Hopf Bifurcation
 State Space Decomposition
 Hopf Bifurcation Theorem
 Normal Form Theory
 Nonresonant Type Results
 Normal Form Computation
 Remarks and Notes
 Functional Differential Equations
 Retarded Functional Differential Equations
 Integrated Solutions and Spectral Analysis
 Projectors on the Eigenspaces
 Hopf Bifurcation
 Neutral Functional Differential Equations
 Spectral Theory
 Projectors on the Eigenspaces
 Partial Functional Differential Equations
 A Delayed Transport Model of Cell Growth and Division
 Partial Functional Differential Equations
 Remarks and Notes
 AgeStructured Models
 General AgeStructured Models
 A SusceptibleInfectious Model with Age of Infection
 Integrated Solutions and Attractors
 Local and Global Stability of the DiseaseFree Equilibrium
 Uniform Persistence
 Local and Global Stabilities of the Endemic Equilibrium
 Numerical Examples
 A Scalar AgeStructured Model
 Existence of Integrated Solutions
 Spectral Analysis
 Hopf Bifurcation
 Direction and Stability of Hopf Bifurcation
 Normal Forms
 Remarks and Notes
 Parabolic Equations
 Abstract Nondensely Defined Parabolic Equations
 Introduction
 Almost Sectorial Operators
 Semigroup Estimates and Fractional Powers
 Linear Cauchy Problems
 Perturbation Results
 Applications
 A SizeStructured Model
 The Semiflow and Its Equilibria
 Linearized Equation and Spectral Analysis
 Local Stability
 Hopf Bifurcation
 Remarks and Notes
 References
 Index.
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QA371 .M34 2018  Unknown 
 Khrennikov, A. I͡U. (Andreĭ I͡Urʹevich), 1958 author.
 Cambridge, United Kingdom ; New York, NY, USA : Cambridge University Press, 2018.
 Description
 Book — xv, 237 pages : illustrations ; 25 cm.
 Summary

 1. padic analysis: essential ideas and results
 2. Ultrametric geometry: cluster networks and buildings
 3. padic wavelets
 4. Ultrametricity in the theory of complex systems
 5. Some applications of wavelets and integral operators
 6. padic and ultrametric models in geophysics
 7. Recent development of the theory of padic dynamical systems
 8. Parabolictype equations, Markov processes, and models of complex hierarchic systems
 9. Stochastic heat equation driven by Gaussian noise
 10. Sobolevtype spaces and pseudodifferential operators
 11. Nonarchimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields
 12. Heat traces and spectral zeta functions for padic laplacians References Index.
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QA329.7 .K47 2018  Unknown 
 Boyce, William E. author.
 Global edition and 11th edition.  [Hoboken, New Jersey] : Wiley, 2017.
 Description
 Book — xii, 607 pages : illustrations (some color) ; 27 cm
 Summary

 First order differential equations
 Second order linear equations
 Higher order linear equations
 Series solutions of second order linear equations
 The Laplace transform
 Systems of first order linear equations
 Numerical methods
 Nonlinear differential equations and stability
 Partial differential equations and Fourier series
 Boundary value problems and SturmLiouville theory.
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QA371 .B773 2017  Unknown 
 Nishitani, Tatsuo, 1950
 Cham, Switzerland : Springer, [2017]
 Description
 Book — viii, 211 pages : illustrations ; 24 cm.
 Summary

 1. Introduction.
 2 Noneffectively hyperbolic characteristics.
 3 Geometry of bicharacteristics.
 4 Microlocal energy estimates and wellposedness.
 5 Cauchy problemâ no tangent bicharacteristics. 
 6 Tangent bicharacteristics and illposedness.
 7 Cauchy problem in the Gevrey classes.
 8 Illposed Cauchy problem, revisited. References.
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Serials  
Shelved by Series title V.2202  Unknown 
 Course in ordinary differential equations
 Wirkus, Stephen Allen, 1971 author.
 Second edition.  Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017]
 Description
 Book — xix, 767 pages : illustrations ; 27 cm.
 Summary

 Traditional FirstOrder Differential Equations Introduction to FirstOrder Equations Separable Differential Equations Linear Equations Some Physical Models Arising as Separable Equations Exact Equations Special Integrating Factors and Substitution Methods Bernoulli Equation Homogeneous Equations of the Form g(y=x) Geometrical and Numerical Methods for FirstOrder Equations Direction Fields
 he Geometry of Differential Equations Existence and Uniqueness for FirstOrder Equations FirstOrder Autonomous Equations he Case n = 2 Numerical Considerations for nthOrder Equations Essential Topics from Complex Variables Homogeneous Equations with Constant Coecients Mechanical and Electrical Vibrations Techniques of Nonhomogeneous HigherOrder Linear Equations Nonhomogeneous Equations Method of Undetermined Coecients via Superposition Method of Undetermined Coecients via Annihilation Exponential Response and Complex Replacement Variation of Parameters CauchyEuler (Equidimensional) Equation Forced Vibrations Fundamentals of Systems of Differential Equations Useful Terminology Gaussian Elimination Vector Spaces and Subspaces The Nullspace and Column Space Eigenvalues and Eigenvectors A General Method, Part I: Solving Systems with Real and Distinct or Complex Eigenvalues A General Method, Part II: Solving Systems with Repeated Real Eigenvalues Matrix Exponentials Solving Linear Nonhomogeneous Systems of Equations Geometric Approaches and Applications of Systems of Differential Equations An Introduction to the Phase Plane Nonlinear Equations and Phase Plane Analysis Systems of More Than Two Equations Bifurcations Epidemiological Models Models in Ecology Laplace Transforms Introduction Fundamentals of the Laplace Transform The Inverse Laplace Transform Laplace Transform Solution of Linear Differential Equations Translated Functions, Delta Function, and Periodic Functions The sDomain and Poles Solving Linear Systems Using Laplace Transforms The Convolution Series Methods Power Series Representations of Functions The Power Series Method Ordinary and Singular Points The Method of Frobenius Bessel Functions BoundaryValue Problems and Fourier Series TwoPoint BoundaryValue Problems Orthogonal Functions and Fourier Series Even, Odd, and Discontinuous Functions Simple EigenvalueEigenfunction Problems SturmLiouville Theory Generalized Fourier Series Partial Differential Equations Separable Linear Partial Differential Equations Heat Equation Wave Equation Laplace Equation NonHomogeneous Boundary Conditions NonCartesian Coordinate Systems A An Introduction to MATLAB, Maple, and Mathematica MATLAB Some Helpful MATLAB Commands Programming with a script and a function in MATLAB Maple Some Helpful Maple Commands Programming in Maple Mathematica Some Helpful Mathematica Commands Programming in Mathematica B Selected Topics from Linear Algebra A Primer on Matrix Algebra Matrix Inverses, Cramer's Rule Calculating the Inverse of a Matrix Cramer's Rule Linear Transformations Coordinates and Change of Basis Similarity Transformations Computer Labs: MATLAB, Maple, Mathematica Answers to Odd Problems.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA372 .S9254 2017  Unknown 
 Constanda, C. (Christian), author.
 Second edition.  Cham, Switzerland : Springer, [2017]
 Description
 Book — xvii, 297 pages ; 26 cm.
 Summary

 1. Introduction.
 2. First Order Equations.
 3. Mathematical Models with FirstOrder Equations.
 4. Linear SecondOrder Equations.
 4. HigherOrder Equations.
 5. Mathematical Models with SecondOrder Equations.
 6. HigherOrder Linear Equations.
 7. Systems of Differential Equations.
 8. The Laplace Transformation.
 9. Series Solutions.
 10. Numerical Methods. A. Algebra Techniques. B. Calculus Techniques. C. Table of Laplace Transforms. D. The Greek Alphabet. Further Reading. Answers to OddNumbered Exercises. Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA371 .C66 2017  Unknown 
20. Differential equations and linear algebra [2017]
 Goode, Stephen W., 1957 author.
 4th edition.  Boston : Pearson, [2017]
 Description
 Book — viii, 856 pages : illustrations (some color) ; 26 cm
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA371 .G644 2017  Unknown 