数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 578-588.doi: 10.1016/S0252-9602(13)60021-1

• 论文 • 上一篇    下一篇

ATTRACTING AND QUASI-INVARIANT SETS OF STOCHASTIC NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

黎定仕|徐道义   

  1. School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China; Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, China
  • 收稿日期:2011-10-31 修回日期:2012-04-27 出版日期:2013-03-20 发布日期:2013-03-20
  • 基金资助:

    The first author is supported by National Natural Science Foundation of China (11271270 and 11201320).

ATTRACTING AND QUASI-INVARIANT SETS OF STOCHASTIC NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS

 LI Ding-Shi, XU Dao-Xi   

  1. School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China; Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, China
  • Received:2011-10-31 Revised:2012-04-27 Online:2013-03-20 Published:2013-03-20
  • Supported by:

    The first author is supported by National Natural Science Foundation of China (11271270 and 11201320).

摘要:

In this article, we investigate a class of stochastic neutral partial functional differ-ential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral partial functional differential equations are obtained. The results in [15, 16] are generalized and improved.

关键词: Attracting, quasi-invariant, neutral, stochastic

Abstract:

In this article, we investigate a class of stochastic neutral partial functional differ-ential equations. By establishing new integral inequalities, the attracting and quasi-invariant sets of stochastic neutral partial functional differential equations are obtained. The results in [15, 16] are generalized and improved.

Key words: Attracting, quasi-invariant, neutral, stochastic

中图分类号: 

  • 35B35