Discrete Dynamics in Nature and Society (Jan 2017)

Existence and Exponential Stability of Solutions to Stochastic Neutral Functional Differential Equations

  • Ling Hu,
  • Zheng Wu,
  • Zhangzhi Wei,
  • Lianglong Wang

DOI
https://doi.org/10.1155/2017/2623035
Journal volume & issue
Vol. 2017

Abstract

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In this paper we consider the existence and stability of solutions to stochastic neutral functional differential equations with finite delays. Under suitable conditions, the existence and exponential stability of solutions were obtained by using the semigroup approach and Banach fixed point theorem.