Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall/CRC Pure and Applied Mathematics)

Cronin, Jane

ISBN 10: 0824791894 / ISBN 13: 9780824791896

Editore: CRC Press, 1994

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Titolo: Ordinary Differential Equations: ...

Casa editrice: CRC Press

Data di pubblicazione: 1994

Legatura: Hardcover

Condizione: Good

Edizione: seconda edizione

Descrizione articolo

Riassunto:

This text, now in its second edition, presents the basic theory of ordinary differential equations and relates the topological theory used in differential equations to advanced applications in chemistry and biology. It provides new motivations for studying extension theorems and existence theorems, supplies real-world examples, gives an early introduction to the use of geometric methods and offers a novel treatment of the Sturm-Liouville theory.

Contenuti:

Existence Theorems * Linear Systems * Autonomous Systems * Stability * The Lyapunov Second Method * Periodic Solutions * Bifurcation and Branching of Periodic Solutions * Appendix: Ascoli's Theorem; Principle of Contraction Mappings; Topological Degree.