Abstract
Investigates the global stability of the zero solution of an impulsive system of differential‐difference equations with variable impulsive perturbations. By means of piecewise continuous functions which are analogues of Lyapunov’s functions, and of the comparison principle, sufficient conditions for global stability of the zero solution of the systems considered are found.
Subject
Applied Mathematics,Electrical and Electronic Engineering,Computational Theory and Mathematics,Computer Science Applications
Reference9 articles.
1. 1.Bainov, D.D. and Simeonov, P.S., Systems with Impulse Effect: Stability, Theory and Applications, Ellis Horwood, Chichester, 1989.
2. 2.Dishliev, A.B. and Bainov, D.D., “Continuous dependence of the solutions of a system of differential equations with impulses on the initial condition”, Zeitschrift für Analysis und ihre Anwendungen, Vol. 8, 1989, pp. 183‐96.
3. 3.Kulev, G.K. and Bainov, D.D., “Stability of the solutions of impulsive integro‐differential equations in terms of two measures”, International Journal of System Sciences, Vol. 21, 1990, pp. 2225‐39.
4. 4.Lakshmikantham, V., Bainov, D.D. and Simeonov, P.S., Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
5. 5.Simeonov, P.S. and Bainov, D.D., “Application of the method of the two‐sided approximations to the solution of the periodic problem for impulsive differential equations”, Tamkang Journal of Mathematics, Vol. 3, 1991, pp. 275‐84.
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献