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Some Refinements of Lyapunov's Second Method

Published online by Cambridge University Press:  20 November 2018

Fred Brauer
Fred Brauer*
Affiliation:
The University of Wisconsin
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Lyapunov's second method is a well-known and powerful tool for studying the behaviour of solutions of a system of differential equations. One approach to the theory is the comparison method developed by Corduneanu (4). This approach has the advantage that it also leads to other results on asymptotic behaviour which originally appeared to be unrelated to Lyapunov's method. Some of these results have been obtained by the author in (2). The purpose of this paper is to make use of the comparison method to obtain some refinements of Lyapunov's theory.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 17 , 1965 , pp. 811 - 819
Copyright
Copyright © Canadian Mathematical Society 1965

References

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