Applied Mathematics and Nonlinear Sciences (Oct 2016)
Controllability for neutral stochastic functional integrodifferential equations with infinite delay
Abstract
In this work, we study the controllability for a class of nonlinear neutral stochastic functional integrodifferential equations with infinite delay in a real separable Hilbert space. Sufficient conditions for the controllability are established by using Nussbaum fixed point theorem combined with theories of resolvent operators. As an application, an example is provided to illustrate the obtained result.
Keywords