Approximate Controllability for a Class of Second-Order Stochastic Evolution Inclusions of Clarke's Subdifferential Type

摘要

In this paper, we are dealing with the approximate controllability for a class of second-order stochastic evolution inclusions of Clarke's subdifferential type. Initially, we show the existence of mild solutions for the stochastic evolution inclusions by using stochastic analysis, non-smooth analysis and fixed point theorems of multivalued maps. Then we provide a set of sufficient conditions for the approximate controllability of the second-order stochastic evolution inclusions. Finally, an example is included for the illustration of the obtained theoretical results.