Book,

A First Course in the Qualitative Theory of Differential Equations

.
Prentice Hall, Upper Saddle River, (2003)

Abstract

This book covers the qualitative analysis of differential equations. Chapter titles are: a brief description; existence and uniqueness; linear differential equations; autonomous differential equations in $\Re^2$; stability part I; bifurcation; chaos; dynamical systems; stability part II; bounded solutions; periodic solutions; some new types of equations. An appendix containing some results on fixed point theorems is also included.

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