文章基本信息

标题：Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition
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作者：Wei Mao ; Liangjian Hu ; Xuerong Mao 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：57
DOI：10.1186/s13662-017-1102-9
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, a general neutral stochastic functional differential equations with infinite delay and Lévy jumps (NSFDEwLJs) is studied. We investigate the existence and uniqueness of solutions to NSFDEwLJs at the phase space C g $C_{g}$ under the local Carathéodory type conditions. Meanwhile, we also give the exponential estimates and almost surely asymptotic estimates of solutions to NSFDEwLJs.
关键词：neutral stochastic functional differential equations ; Lévy jumps ; phase space (C_{g}) ; the local Lipschitz condition ; exponential estimates and almost surely asymptotic estimates