Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (6): 1135-1143.

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Attracting and Quasi-Invariant Sets of Second-Order Neutral Stochastic Partial Differential Equations

Yingfei Fan,Guopeng Zhang,Xinguo Jiang*(),jian Ma   

  1. School of Transportation and Logistics, National United Engineering Laboratory of Integrated and Intelligent Transportation, Southwest Jiaotong University, Chengdu 610031
  • Received:2017-08-09 Online:2018-12-26 Published:2018-12-27
  • Contact: Xinguo Jiang E-mail:fanyf@my.swjtu.edu.cn
  • Supported by:
    the NSFC(71771191);the NSFC(71473207);CSTP(2015-RK00-00171-ZF);the Doctoral Innovation Fund Program of Southwest Jiaotong University

Abstract:

This paper is concerned with the second-order neutral stochastic partial differential equations. By using stochastic analysis and inequality techniques, sufficient conditions for the existence of attracting and quasi invariant sets are obtained. Some existing related results are generalized.

Key words: Attracting, Quasi-invariant, Second-order, Stochastic, Partial differential

CLC Number: 

  • O175.23
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