Approximate controllability of neutral stochastic integrodifferential systems in Hilbert spaces

Abstract

In this paper sufficient conditions are established for the controllability of a class of neutral stochastic integrodifferential equations with nonlocal conditions in abstract space. The Nussbaum fixed point theorem is used to obtain the controllability results, which extends the linear system to the stochastic settings with the help of compact semigroup. An example is provided to illustrate the theory.

Keywords

• Compact semigroup
• approximate controllability
• neutral stochastic integrodifferential system
• Nussbaum fixed point theorem