Integral Φ0-Stability of Impulsive Differential Equations

Abstract

In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.

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Sood, A. and Srivastava, S. (2015) Integral Φ0-Stability of Impulsive Differential Equations. Open Journal of Applied Sciences, 5, 651-660. doi: 10.4236/ojapps.2015.510064.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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