A new approach to practical stability of impulsive functional differential equations in terms of two measures

Authors:
Yang Liu;Shouwei Zhao
Affiliations:
Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China and Department of Applied Mathematics, Tongji University, Shanghai 200092, PR China;Department of Applied Mathematics, Tongji University, Shanghai 200092, PR China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 5
Cited 0

Razumikhin techniques in impulsive functional differential equations

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Eventual practical stability of impulsive differential equations with time delay in terms of two measurements

Journal of Computational and Applied Mathematics
Stability in terms of two measures of impulsive integro-differential equations via variation of the Lyapunov method

Applied Mathematics and Computation
Practical stability of impulsive functional differential equations in terms of two measurements

Computers & Mathematics with Applications

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Abstract

In this work, we consider a new approach to the practical stability theory of impulsive functional differential equations. With Lyapunov functionals and Razumikhin technique, we use a new technique in the division of Lyapunov functions, given by Shunian Zhang, and obtain conditions sufficient for the uniform practical (asymptotical) stability of impulsive delay differential equations. An example is also discussed to illustrate the advantage of the proposed results.