A First Course in the Qualitative Theory of Differential Equations

A First Course in the Qualitative Theory of Differential Equations

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Description

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.
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Product details

  • Hardback | 558 pages
  • 193 x 229.6 x 26.9mm | 975.23g
  • Pearson
  • United States
  • English
  • 0130083801
  • 9780130083807

Table of contents

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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