On Approximate Controllability of Second-Order Neutral Partial Stochastic Functional Integrodifferential Inclusions with Infinite Delay and Impulsive Effects

Abstract EN

We discuss the approximate controllabilityof second-order impulsive neutral partial stochastic functionalintegrodifferential inclusions with infinite delay under theassumptions that the corresponding linear system is approximatelycontrollable.

Using the fixed point strategy, stochastic analysis,and properties of the cosine family of bounded linear operatorscombined with approximation techniques, a new set of sufficientconditions for approximate controllability of the second-orderimpulsive partial stochastic integrodifferential systems areformulated and proved.

The results in this paper are generalizationand continuation of the recent results on this issue.

An example isprovided to show the application of our result.