Basic Theory of Ordinary Differential Equations
(Sprache: Englisch)
The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a...
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Klappentext zu „Basic Theory of Ordinary Differential Equations “
The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history. The book has 114 illustrations and 206 exercises. Hints and comments for many problems are given.
Inhaltsverzeichnis zu „Basic Theory of Ordinary Differential Equations “
* Fundamental Theorems of Ordinary Differential Equations * Dependenceof Data * Nonuniqueness * General Theory of Linear Systems * 1= Singularities of the First Kind * Boundary-value Problems of LinearDifferential Equations of the Second Order * Asymptotic Behavior ofSolutions of Linear Systems * Stabiblity * Autonomous Systems * SecondOrder Differential Equations * Asymptotic Expansions * AsymptoticExpansions in a Parameter * Singularities of the Second Kind 1=
Bibliographische Angaben
- Autoren: Yasutaka Sibuya , Po-Fang Hsieh
- 1999, 469 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Ed. by Hsieh Po-Fang and Yasatuka Sibuya
- Verlag: Springer, New York
- ISBN-10: 0387986995
- ISBN-13: 9780387986999
- Erscheinungsdatum: 22.06.1999
Sprache:
Englisch
Rezension zu „Basic Theory of Ordinary Differential Equations “
"This book in pure mathematics will guide the reader on a newly marked path through classic and awesome terrain---first so well described by Coddington and Levinson---toward research in the important and useful areas of power series solutions and asymptotics. The path not taken would be marked by at least one explicit mention of a Poincaré map, a resonance in celestial mechanics, an average, a traveling wave, or a transversal intersection of separatrices."--MATHEMATICAL REVIEWS
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