Lakshmikantham, V. and Rao, M.R.M. (1995) Theory of Integro-Differential Equations. Gordon and Breach Science Publishers.

has been cited by the following article:

• TITLE: Controllability of Stochastic Integro-Differential Systems with Time Delay in Control Input

  AUTHORS: Murugesan Sathya, Shanmugasundaran Karthikeyan, Emmanuel Hagenimana

  KEYWORDS: Relative Controllability, Stochastic Integro-Differential Systems, Control Delay, Banach Fixed Point Theorem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.4, April 8, 2025

  ABSTRACT: This paper investigates the relative controllability problem of semilinear stochastic integro-differential systems with a variable delay in control. Under suitable conditions, it is shown that the semilinear stochastic system may be steered up to the reachable set of its corresponding linear system in finite terminal time. The results are obtained by using fixed point argument. Finally a numerical example is provided to illustrate the technique.