Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2015
  • Volume: 7
  • Issue: 2

Existence of solutions of stochastic neutral functional differential equations with state dependent delay

  • Author:
  • A. Senguttuvan
  • Total Page Count: 14
  • Page Number: 213 to 226

Department of Mathematics and Statistics, Caledonian College of Engineering, Muscat, Sultanate of Oman, senkutvan@gmail.com

AMS(MOS) Subject Classifications: 34K40, 34A60, 34K50, 60H10, 93E03

Abstract

In this paper we study the existence of mild solutions for a class of stochastic neutral functional differential equations with state dependent delay in an Abstract space by using the fixed point theorem of Leray-Schauder alternative.

Keywords

Existence of solutions, Leray-Schauder fixed point theorem, Stochastic differential equations, State dependent delay