A Short Course in Ordinary Differential Equations / / by Qingkai Kong
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| Autore: |
Kong Qingkai
|
| Titolo: |
A Short Course in Ordinary Differential Equations / / by Qingkai Kong
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (XII, 267 p. 55 illus.) |
| Disciplina: | 515.352 |
| Soggetto topico: | Differential equations |
| Dynamics | |
| Ergodic theory | |
| Ordinary Differential Equations | |
| Dynamical Systems and Ergodic Theory | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references & index. |
| Nota di contenuto: | Preface -- Notation and Abbreviations -- 1. Initial Value Problems -- 2. Linear Differential Equations -- 3. Lyapunov Stability Theory -- 4. Dynamic Systems and Planar Autonomous Equations -- 5. Introduction to Bifurcation Theory -- 6. Second-Order Linear Equations -- Answers and Hints -- Bibliography -- Index. |
| Sommario/riassunto: | This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well. |
| Titolo autorizzato: | Short course in ordinary differential equations |
| ISBN: | 3-319-11239-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910299985403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Universitext, . 0172-5939