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作者:

Feng, Lichao (Feng, Lichao.) | Li, Shoumei (Li, Shoumei.) (学者:李寿梅)

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Scopus SCIE

摘要:

Stability and boundedness are two of the most important topics in the study of stochastic functional differential equations (SFDEs). This paper mainly discusses the almost sure asymptotic stability and the boundedness of nonlinear SFDEs satisfying the local Lipschitz condition but not the linear growth condition. Here we assume that the coefficients of SFDEs are polynomial or dominated by polynomial functions. We give sufficient criteria on the almost sure asymptotic stability and the boundedness for this kind of nonlinear SFDEs. Some nontrivial examples are provided to illustrate our results.

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作者机构:

  • [ 1 ] [Feng, Lichao]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Li, Shoumei]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Feng, Lichao]Hebei United Univ, Coll Sci, Tangshan 063009, Hebei, Peoples R China

通讯作者信息:

  • 李寿梅

    [Li, Shoumei]Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

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来源 :

ABSTRACT AND APPLIED ANALYSIS

ISSN: 1085-3375

年份: 2014

被引次数:

WoS核心集被引频次: 1

SCOPUS被引频次: 2

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 2

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