Mild solutions of local non-Lipschitz neutral stochastic partial functional differential equations

Castillo-Fernandez David

Castillo-Fernandez David Universidad Autonoma Metropolitana-Azcapotzalco, Av. San Pablo 180 Col. Reynosa, Mexico, D.F., C.P.02200, Mexico

Keywords: Mild solutions Local non-Lipschitz condition Jump Stochastic evolution equation

Abstract

This paper studies the existence and uniqueness of a mild solution for a neutral stochastic partial functional differential equation with in-nite delays using Caratheodory conditions and also the exponential stability of the moments of a mild solutions well as its sample paths.
An example is provided to illustrate the obtained result.

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