Theory of Functional Differential Equations / Jack K. Hale

• Autore: Hale, Jack K.
• Pubblicazione: New York, : Springer-Verlag, 1977
• Edizione: 2. ed
• Descrizione fisica: x, 366 p. ; 24 cm
• Soggetto topico: 34-XX - Ordinary differential equations [MSC 2020]; 34A05 - Explicit solutions and reductions of ordinary differential equations [MSC 2020]; 34C25 - Periodic solutions to ordinary differential equation [MSC 2020]; 34D10 - Perturbations of ordinary differential equation [MSC 2020]; 34D20 - Stability of solutions to ordinary differential equation [MSC 2020]; 34K05 - General theory of functional-differential equations [MSC 2020]
• Soggetto non controllato: Addition; Behavior; Bifurcations; Boundary Element Methods; Compactness; Development; Difference equations; Differential Equations; Functional; Manifolds; Maximum; Stability; eXist
• Nota di contenuto: Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre­ hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.
• Titolo autorizzato: Theory of functional differential equations
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00268127
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-1-4612-9892-2
• Serie: Applied mathematical sciences Berlin [etc] . -Springer , 1971- ; 3