The spectral theory of periodic differential equationsScottish Academic Press [distributed by Chatto & Windus, London, 1973 - 130 páginas Suitable for advanced undergraduates and graduate students, this text surveys the classical theory of the calculus of variations. Topics include static systems, control systems, additional constraints, the Hamilton-Jacobi equation, and the accessory optimization problem. Emphasis throughout the text is placed upon methods and principles, which are illustrated by worked problems and sets of exercises. 1975 edition. |
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Índice
Preface | 1 |
STABILITY AND INSTABILITY | 19 |
Notes and references | 36 |
Página de créditos | |
Otras 4 secciones no se muestran.
Términos y frases comunes
absolutely continuous alternative proof Bloch functions bounded Chapter Coddington and Levinson compact support complex-valued conditional stability intervals considered to hold constant continuous function continuously differentiable functions Corollary defined denote the eigenvalues differential equation differential operator double eigenvalue Eastham eigenfunction corresponding eigenfunctions eigenvalue problems exists fi2m finite number Floquet theory following theorem Fourier coefficients Fourier series gaps Gl(x Hence Hilbert space Hochstadt instability interval integral intervals of 2.1.1 ip(x Lemma Let p(x Levinson 17 linearly independent Magnus and Winkler matrix method multiplicity non-trivial solution non-zero number of zeros obtain Parseval formula periodic and semi-periodic periodic boundary conditions periodic problem piecewise continuous Pk(x positive integer proof of Theorem proves the theorem real number real-valued replaced satisfy self-adjoint self-adjoint operators semi-periodic problems solution with period solutions of 2.1.1 spectral theory spectrum t-periodic Titchmarsh 95 values vector Winkler 67 yn(x
Información bibliográfica
| Título | The spectral theory of periodic differential equations Texts in mathematics |
| Autor | Michael Stephen Patrick Eastham |
| Edición | ilustrada |
| Editor | Scottish Academic Press [distributed by Chatto & Windus, London, 1973 |
| Procedencia del original | la Universidad de Michigan |
| Digitalizado | 5 Feb 2010 |
| N.º de páginas | 130 páginas |
| Exportar cita | BiBTeX EndNote RefMan |