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Author:

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

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Author Community:

  • [ 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

Reprint Author's Address:

  • 李寿梅

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

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Source :

ABSTRACT AND APPLIED ANALYSIS

ISSN: 1085-3375

Year: 2014

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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