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  • 标题:Existence of mild solutions for the impulsive semilinear nonlocal problem with random effects
  • 本地全文:下载
  • 作者:Shuorui Zhang ; Jitao Sun
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:194
  • DOI:10.1186/1687-1847-2014-194
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the existence of impulsive semilinear nonlocal problems with random effects. Random perturbations are taken into consideration in abstract spaces. By applying the measure of noncompactness and a random fixed point theorem with stochastic domain, we get some existence results which improve and generalize many known results. Some weaker assumptions are established. Besides, we do not claim the semigroup to be compact.
  • 关键词:random fixed point ; existence ; nonlocal conditions ; measure of noncompactness ; impulsive differential equations
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