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  • 标题:Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition
  • 本地全文:下载
  • 作者:Wei Mao ; Liangjian Hu ; Xuerong Mao
  • 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
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