A general stability result in a Timoshenko system with infinite memory: A new approach

Aissa Guesmia, Salim A. Messaoudi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

In this paper, we consider a Timoshenko system in the presence of an infinite memory, where the relaxation function satisfies a relation of the form g′(t)≤-ξ(t)g(t), ∀t ∈ ℝ+. Under the same hypothesis on g and ξ imposed for the finite memory case, we establish some general decay results for the equal and nonequal speed propagation cases. Our results improve in some situations some known decay rates. Also, some applications to other problems are discussed.

Original languageEnglish
Pages (from-to)384-392
Number of pages9
JournalMathematical Methods in the Applied Sciences
Volume37
Issue number3
DOIs
StatePublished - Feb 2014

Keywords

  • Timoshenko system
  • general decay
  • relaxation function
  • stability
  • viscoelasticity

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering

Fingerprint

Dive into the research topics of 'A general stability result in a Timoshenko system with infinite memory: A new approach'. Together they form a unique fingerprint.

Cite this