Acta mathematica scientia,Series B ›› 2017, Vol. 37 ›› Issue (4): 965-973.doi: 10.1016/S0252-9602(17)30051-6

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STABILITY OF A VON KARMAN EQUATION WITH INFINITE MEMORY

Sun-Hye PARK   

  1. Center for Education Accreditation, Pusan National University, Busan 609-735, South Korea
  • Received:2016-05-19 Revised:2016-08-16 Online:2017-08-25 Published:2017-08-25
  • About author:Sun-Hye PARK,E-mail:sh-park@pusan.ac.kr
  • Supported by:

    This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and Future Planning (2014R1A1A3A04049561).

Abstract:

In this paper, we consider a von Karman equation with infinite memory. For von Karman equations with finite memory, there is a lot of literature concerning on existence of the solutions, decay of the energy, and existence of the attractors. However, there are few results on existence and energy decay rate of the solutions for von Karman equations with infinite memory. The main goal of the present paper is to generalize previous results by treating infinite history instead of finite history.

Key words: von Karman equation, general decay, infinite memory

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