Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (8): 765-775.

• 论文 • 上一篇    下一篇

CONVERGENT FAMILIES OF APPROXIMATE INERTIAL MANIFOLDS FOR NONAUTONOMOUS EVOLUTION EQUATIONS

王宗信1, 范先令2, 朱正佑3   

  1. 1. Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China;
    2. Department of Mathematics, Lanzhou University. Lanzhou 730000, P, R. China;
    3. Dcpartmcnt of Mathcmatlcs, Shanghai Univerity, Shanghai 200072, P. R. China
  • 收稿日期:1997-03-24 修回日期:1998-05-15 出版日期:1998-08-18 发布日期:1998-08-18
  • 基金资助:
    Project syportcd by the National Natural Science Foundation of China

CONVERGENT FAMILIES OF APPROXIMATE INERTIAL MANIFOLDS FOR NONAUTONOMOUS EVOLUTION EQUATIONS

Wang Zongxing1, Fan Xianling2, Zhu Zhengyou 3   

  1. 1. Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China;
    2. Department of Mathematics, Lanzhou University. Lanzhou 730000, P, R. China;
    3. Dcpartmcnt of Mathcmatlcs, Shanghai Univerity, Shanghai 200072, P. R. China
  • Received:1997-03-24 Revised:1998-05-15 Online:1998-08-18 Published:1998-08-18
  • Supported by:
    Project syportcd by the National Natural Science Foundation of China

摘要: In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is studied, A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.

Abstract: In this paper, the long time behavior of nonautonomous infinite dimensional dynamical systems is studied, A family of convergent approximate inertial manifolds for a class of evolution equations has been constructed when the spectral gap condition is satisfied.

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