Asymptotic stability of the viscoelastic equation with variable coefficients and the Balakrishnan-taylor damping

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Abstract

In this paper, we consider the viscoelastic equation with variable coefficients and Balakrishnan-Taylor damping and source terms. This work is devoted to prove, under suitable conditions on the initial data, the asymptotic stability without imposing any restrictive growth assumption on the damping term and weakening of the usual assumptions on the relaxation function.

Original languageEnglish
Pages (from-to)931-948
Number of pages18
JournalTaiwanese Journal of Mathematics
Volume22
Issue number4
DOIs
StatePublished - 2018.08

Keywords

  • Asymptotic stability
  • Balakrishnan taylor damping
  • Variable coefficients
  • Viscoelastic equation

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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