JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (4): 66-75.doi: 10.6040/j.issn.1671-9352.0.2021.248

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Global attractor of Kirchhoff-type beam equation with memory

ZHANG Ying, LIU Qiang-qiang, MA Qiao-zhen*   

  1. College of Mathematice and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-03-29

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Abstract: By means of energy estimation and contraction function, the long time dynamic behavior of Kirchhoff beam equations with linear memory and nonlinear damping is studied, and the existence of global attractor in weak topological space is obtained, which partially extends the existing results.

Key words: linear memory, global attractor, bounded absorbing set, contraction function

CLC Number: 

  • O175.29
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