Acta mathematica scientia,Series A ›› 2019, Vol. 39 ›› Issue (1): 114-124.

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Global Attractors for a Fourth Order Pseudo-Parabolic Equation with Fading Memory

Xiaoming Peng1,Xiaoxiao Zheng2,Yadong Shang3,*()   

  1. 1 School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320
    2 School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273155
    3 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006
  • Received:2017-06-30 Online:2019-02-26 Published:2019-03-12
  • Contact: Yadong Shang E-mail:gzydshang@126.com

Abstract:

This paper is devoted to study the long-time dynamical behavior of fourth order pseudo-parabolic equations with memory when nonlinearity is critical. By using the decompose techniques of solution semigroup and compactness transitivity theorem, we show the existence of global attractors within the past history framework.

Key words: Global attractor, Fading memory, Critical exponent, Pseudo-parabolic

CLC Number: 

  • O175.26
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