A first course in the qualitative theory of differential equations
著者
書誌事項
A first course in the qualitative theory of differential equations
Prentice Hall, c2003
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注記
Includes bibliographical references (p. 547-555) and index
内容説明・目次
内容説明
For upper-level undergraduate and beginning graduate-level courses in Qualitative Theory of Differential Equations.
Striking a unique balance between advanced and elementary material, this text is perfect for a second course in differential equations or a first theory course in differential equations. Liu provides a complete analysis of those subjects that are of fundamental importance and related to current research-including details that other texts in the field tend to overlook. As a result, students gain a solid understanding of the topics covered then challenge their creativity with exercises, reading, and/or research projects.
目次
1. A Brief Description.
2. Existence and Uniqueness.
3. Linear Differential Equations.
4. Autonomous Differential Equations in R2.
5. Stability. Part I.
6. Bifurcation.
7. Chaos.
8. Dynamical Systems and Poincare-Bendixson Theorem in R2.
9. Stability. Part II.
10. Bounded Solutions.
11. Periodic Solutions.
12. Remarks on Some New Types of Differential Equations.
Appendix.
References.
Index.
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