Variational comparison theorem and perturbations of nonlinear systems-Reference-Cited by-同舟云学术

Variational comparison theorem and perturbations of nonlinear systems

Published:1975 Issue:1 Volume:52 Page:181-187
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ladde G. S.

Abstract

By employing vector Lyapunov-like functions and the theory of systems of differential inequalities, a variational comparison theorem and generalized variation of constants formula are developed. Furthermore, the usefulness of the variational comparison theorem is exhibited by giving applications to stability problems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1975-052-01/S0002-9939-1975-0372351-6/S0002-9939-1975-0372351-6.pdf

Reference3 articles.

1. On the classes of differential systems with the desired behavior;Bernfeld, S.;Rend. Circ. Mat. Palermo (2),1972

2. Perturbations of nonlinear systems of differential equations;Brauer, Fred;J. Math. Anal. Appl.,1966

3. V. Lakshmikantham and S. Leela, Differential and integral inequalities, Theory and Applications, Vols. I, II, Academic Press, New York, 1969.

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