Existence and Uniqueness of Solutions to Neutral Stochastic Functional Differential Equations with Poisson Jumps

A class of neutral stochastic functional differential equations with Poisson jumps (NSFDEwPJs), d[x(t)-G(xt)]=f(xt, t)dt+g(xt,t)dW(t)+h(xt,t)dN(t), t∈[t0,T], with initial value xt0=ξ={ξ(θ):-τ≤θ≤0}, is investigated. First, we consider the existence and uniqueness of solutions to NSFDEwPJs under the u...

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Bibliographic Details
Main Authors: Jianguo Tan, Hongli Wang, Yongfeng Guo
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/371239
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