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Stability results of Random Impulsive Semilinear Differential Equations

Publication Type : Journal Article

Publisher : Acta Mathematica Scientia

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2014

Abstract : In this paper, we study the existence, uniqueness, continuous dependence, Ulam stabilities and exponential stability of random impulsive semilinear differential equations under 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.

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