Null boundary controllability of nonlinear integrodifferential systems with Rosenblatt process

Abstract

By using stochastic analysis, compact semigroups and Schauder fixed-point theorem, we discuss the null boundary controllability of nonlinear integrodifferential system with Rosenblatt process. In addition, the null boundary controllability of Sobolev-type neutral integro-differential system with Rosenblatt is studied. Finally, an example is given to illustrate the obtained results. The null controllability results for stochastic differential systems with Rosenblatt process and control on the boundary have not yet been considered in the literature, and this fact motivates this work.