Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions

Abstract

The objective of this paper is to analyze the approximate controllability of a semilinear stochastic integrodifferential system with nonlocal conditions in Hilbert spaces. The nonlocal initial condition is a generalization of the classical initial condition and is motivated by physical phenomena. The results are obtained by using Sadovskii’s fixed point theorem. At the end, an example is given to show the effectiveness of the result.

Keywords

• approximate controllability
• impulsive systems
• mild solutions
• semilinear systems
• Sadovskii’s fixed point theorem