Articles

STABILITY RESULTS OF RANDOM IMPULSIVE SEMILINEAR DIFFERENTIAL EQUATIONS

  • M. GOWRISANKAR ,
  • P. MOHANKUMAR ,
  • A. VINODKUMAR
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  • Department of Mathematics, Annapoorana Engineering College, Salem-636308, Tamil Nadu, India; Department of Mathematics, Arupadai Veedu Institute of Technology, Chennai-636104, Tamil Nadu, India; Department of Mathematics, PSG College of Technology, Coimbatore-641004, Tamil Nadu, India

Received date: 2013-07-26

  Revised date: 2013-10-26

  Online published: 2014-07-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(14)60069-2

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