Periodic differential operators
 Author/Creator
 Brown, B. Malcolm.
 Language
 English.
 Imprint
 Basel : Birkhäuser : Springer, 2013.
 Physical description
 viii, 216 p. ; 24 cm.
 Series
 Operator theory, advances and applications ; v. 230.
Access
Available online

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QA329.4 .B76 2013

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QA329.4 .B76 2013
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Floquet theory ; Introduction ; Preliminaries on ordinary differential systems ; Periodic firstorder systems ; The discriminant and stability ; Hill's equation and periodic Dirac systems ; Functional properties of Hill's discriminant ; The Mathieu equation ; Periodic, semiperiodic and twisted boundaryvalue problems
 Appendix, RofeBeketov's formula ; Chapter notes
 Oscillations. Introduction ; The Prüfer transform ; The boundaryvalue problem with separated boundary conditions ; The rotation number ; Zeros of solutions of Hill's equation ; The upper endpoints of the stability intervals ; A stepfunction example ; Even coefficients ; Comparison of eigenvalues ; Least eigenvalues ; Chapter notes
 Asymptotics. Introduction ; Prüfer transformation formulae ; The coefficient w ; Titchmarsh's asymptotic formula ; Differentiable q ; Length of the instability intervals ; The Mathieu equation ; Asymptotic formulae for solutions ; Absence of instability intervals ; Absence of all but N finite instability intervals ; Absence of odd instability intervals ; All instability intervals nonvanishing ; Chapter notes
 Spectra. Introduction ; Regular boundaryvalue problems ; The spectral function for the halfline problem ; Selfadjoint halfline operators ; The spectrum of the periodic boundaryvalue problem on the halfline ; The spectral matrix for the fullline problem ; The spectrum of the fullline periodic problem ; Oscillations and spectra ; Bounded solutions and the absolutely continuous spectrum ; Chapter notes
 Perturbations. Introduction ; Spectral bands ; Gap eigenvalues ; Critical coupling constants ; Eigenvalue asymptotics ; Chapter notes.
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 B. Malcolm Brown, Michael S.P. Eastham, Karl Michael Schmidt.
 Series
 Operator theory, advances and applications ; v. 230
 ISBN
 9783034805278
 3034805276