STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(14)60069-2

Abstract

Abstract:

In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations un-der sufficient condition. The results are obtained by using the contraction mapping principle. Finally an example is given to illustrate the applications of the abstract results.

Key words: semilinear differential equations, random impulses, stability, Hyers-Ulam sta-bility, Hyers-Ulam-Rassias stability, exponential stability, contraction princi-ple

CLC Number:

35R12

M. GOWRISANKAR, P. MOHANKUMAR, A. VINODKUMAR. STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS[J].Acta mathematica scientia,Series B, 2014, 34(4): 1055-1071.

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