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Dichotomies in Stability Theory by W.A. Coppel
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**About this book :- **
**Dichotomies in Stability Theory ** written by
** W.A. Coppel **

Several years ago I formed the view that dichotomies, rather than Lyapunov's characteristic exponents, are the key to questions of asymptotic behaviour for nonautonomous differential equations. I still hold that view, in spite of the fact that since then there have appeared many more papers and a book on characteristic exponents. On the other hand, there has recently been an important new development in the theory of dichotomies. Thus it seemed to me an appropriate time to give an accessible account of this attractive theory. The present lecture notes are the basis for a course given at the University of Florence in May, 1977.

**Book Detail :- **
** Title: ** Dichotomies in Stability Theory
** Edition: **
** Author(s): ** W.A. Coppel
** Publisher: ** Springer-Verlag Berlin Heidelberg
** Series: ** Lecture Notes in Mathematics 629
** Year: ** 1978
** Pages: ** 102
** Type: ** PDF
** Language: ** English
** ISBN: ** 038708536X,9780387085364
** Country: ** Australia

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**About Author :- **

Author ** W.A. Coppel ** , Department of Mathematics, Institute of Advanced Studies, Australian National University,Canberra, ACT, 2600/Australia. W.A. Coppel's research while affiliated with Australian National University.

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**Book Contents :- **
**Dichotomies in Stability Theory ** written by
** W.A. Coppel **
cover the following topics.

1. STABILITY

2. EXPONENTIAL AND ORDINARY DICHOTOMIES

3. DICHOTOMIES AND FUNCTIONAL ANALYSIS

4. ROUGHNESS

5. DICHOTOMIES AND REDUCIBILITY

6. CRITERIA FOR AN EXPONENTIAL DICHOTOMY

7. DICHOTOMIES AND LYAPUNOV FUNCTIONS

8. EQUATIONS ON R AND ALMOST PERIODIC EQUATIONS

9. DICHOTOMIES AND THE HULL OF AN EQUATION

10. THE METHOD OF PERRON

Subject Index

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