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APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES

APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH... In the paper piecewise continuous analogues of Liapunov's functions have been introduced for systems of differential equations with impulses. They serve to study the problems for uniqueness, continuity and boundedness of the solutions of nonlinear systems with impulses. The asymptotic behaviour of the bounded solutions has also been considered. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES

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References (1)

Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0332-1649
DOI
10.1108/eb010016
Publisher site
See Article on Publisher Site

Abstract

In the paper piecewise continuous analogues of Liapunov's functions have been introduced for systems of differential equations with impulses. They serve to study the problems for uniqueness, continuity and boundedness of the solutions of nonlinear systems with impulses. The asymptotic behaviour of the bounded solutions has also been considered.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Jan 1, 1986

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