Differential equations : introduction and qualitative theory
著者
書誌事項
Differential equations : introduction and qualitative theory
（Monographs and textbooks in pure and applied mathematics, 180）
M. Dekker, c1994
2nd ed., rev. and expanded
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注記
Includes bibliographical references (p. 357-364) and index
内容説明・目次
内容説明
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.
目次
- 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.
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