Qualitative and asymptotic analysis of differential equations with random perturbations
 Responsibility
 Anatoliy M. Samoilenko, Oleksandr Stanzhytskyi.
 Imprint
 Singapore ; Hackensack, NJ : World Scientific, c2011.
 Physical description
 ix, 312 p. ; 24 cm.
 Series
 World Scientific series on nonlinear science. Series A, Monographs and treatises v. 78.
Access
Available online
 ebooks.worldscinet.com World Scientific
Science Library (Li and Ma)
Stacks
Call number  Status 

QA372 .S163 2011  Unknown 
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Creators/Contributors
 Author/Creator
 Samoĭlenko, A. M. (Anatoliĭ Mikhaĭlovich)
 Contributor
 Stanzhytskyi, Oleksandr.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 295310) and index.
 Contents

 Differential Equations with Random Right Hand Side and Random Impulse Action Invariant Sets of Systems with Random Perturbations Stability of Invariant Sets and the Reduction Principle for Ito Systems, Linear and Quasilinear Stochastic Ito Systems Exponential Dichotomy in the Quadratic Mean Asymptotic Equivalence of Linear Extension of Ito Systems on Torus Stability of Invariant Tori Stochastic Invariant Tori of Nonlinear Analysis of the Equations with Random Perturbations Using Averaging.
 (source: Nielsen Book Data)9789814329064 20160606
 Publisher's Summary
 Differential equations with random perturbations are the mathematical models of realworld processes that cannot be described via deterministic laws, and their evolution depends on the random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines: random processes and ordinary differential equations. Consequently, the sources of these methods come both from the theory of random processes and from the classic theory of differential equations. This work focuses on the approach to stochastic equations from the perspective of ordinary differential equations. For this purpose, both asymptotic and qualitative methods which appeared in the classical theory of differential equations and nonlinear mechanics are developed.
(source: Nielsen Book Data)9789814329064 20160606
Subjects
Bibliographic information
 Publication date
 2011
 Series
 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 78
 ISBN
 9789814329064 (hbk.)
 9814329061 (hbk.)