Almost sure exponential stability with a general decay of mild solutions of neutral stochastic partial differential equations with local non-Lipschitz coefficients and inffinite delays

Castillo-Fernandez David

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.

Keywords


Mild solutions Local non-Lipschitz condition Jump Stochastic evolution equation

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References


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