数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (4): 965-973.doi: 10.1016/S0252-9602(17)30051-6

• 论文 • 上一篇    下一篇

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
  • 收稿日期:2016-05-19 修回日期:2016-08-16 出版日期:2017-08-25 发布日期:2017-08-25
  • 作者简介:Sun-Hye PARK,E-mail:sh-park@pusan.ac.kr
  • 基金资助:

    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).

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).

摘要:

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.

关键词: von Karman equation, general decay, infinite memory

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