A note on the neutral stochastic functional differential equation with infinite delay and Poisson jumps in an abstract space
A note on the neutral stochastic functional differential equation with infinite delay and Poisson jumps in an abstract space
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DOI：
10.1063/1.3202822
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发表时间：
2009-08
影响因子：
1.3
通讯作者：
Yong Ren;Li Chen
中科院分区：
文献类型：
--
作者：
Yong Ren;Li Chen
本文证明了具有非lipschitz系数的相空间B中具有无限延迟和泊松跳的中立型随机泛函微分方程解的存在唯一性。在Ren和Xia的研究中出现的已知结果[apple]。数学。计算机学报，21,72 (2009)；任和小苹果。数学。[j] .计算机学报，2014,457（2009）。数学。（未发表）]被推广和改进。给出了一个例子来说明这一理论。
In this note, we prove the existence and uniqueness of the solution to neutral stochastic functional differential equation with infinite delay and Poisson jumps in the phase space B with non-Lipschitz coefficients. The known results that appeared in the studies by Ren and Xia [Appl. Math. Comput. 210, 72 (2009); Ren and XiaAppl. Math. Comput. 214, 457 (2009)] and Xu and Hu [Acta Appl. Math. (unpublished)] are generalized and improved. An example is provided to illustrate the theory.