Isaac Scientific Publishing

Advances in Analysis

Controllability of Damped Second-Order Neutral Impulsive Stochastic Functional Differential Systems with Infinite Delay

Download PDF (580.4 KB) PP. 108 - 120 Pub. Date: March 9, 2017

DOI: 10.22606/aan.2017.22005

Author(s)

  • R.Sathya
    Department of Mathematics, Bharathiar University, Coimbatore - 641046
  • K.Balachandran*

    Department of Mathematics, Bharathiar University, Coimbatore - 641046

Abstract

In this paper we study the controllability of damped second order neutral impulsive stochastic functional differential system with infinite delay in Hilbert spaces. Sufficient conditions for controllability results are obtained by using the theory of cosine families of bounded linear operators and fixed point technique. An example is provided to illustrate the theory.

Keywords

Controllability, Second order damped stochastic system, Neutral impulsive functional differential system, Cosine family, Fixed point.

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