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Memory-type plate system with nonlinear delay

Authors
  • Mustafa, Muhammad I.
Type
Published Article
Journal
Advances in Pure and Applied Mathematics
Publisher
De Gruyter
Publication Date
Aug 30, 2017
Volume
8
Issue
4
Pages
227–240
Identifiers
DOI: 10.1515/apam-2016-0111
Source
De Gruyter
Keywords
License
Yellow

Abstract

In this paper we consider a plate equation with infinite memory in the presence of nonlinear feedbacks with and without delay. Under suitable condition on the weight of the delayed feedback compared with the weight of the non-delayed feedback, we use the energy method to establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity.

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