Basic Theory of Ordinary Differential Equations

Basic Theory of Ordinary Differential Equations

Department

Mathematics

Document Type

Book

Files

Description

Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. 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, while 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, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.

ISBN

978-0387986999

Publication Date

6-22-1999

Publisher

Springer

City

New York

Disciplines

Mathematics

Citation for published book

Hsieh, Sibuya, & Sibuya, Yasutaka. (1999). Basic theory of ordinary differential equations / Po-Fang Hsieh, Yasutaka Sibuya. (Universitext).

Basic Theory of Ordinary Differential Equations

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