Differential equations : introduction and qualitative theory
Author(s)
Bibliographic Information
Differential equations : introduction and qualitative theory
（Monographs and textbooks in pure and applied mathematics, 180）
M. Dekker, c1994
2nd ed., rev. and expanded
Available at / 55 libraries
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Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
517-176//2081000093410
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:515/c8812070293415
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Note
Includes bibliographical references (p. 357-364) and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"