OPTIMAL STABILITY FOR A VISCOELASTIC NEUTRAL DIFFERENTIAL PROBLEM

Jamilu Hashim Hassan*, Nasser Eddine Tatar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the asymptotic behavior of a viscoelastic neutral differential equation. A stability with an explicit decay result of the energy associated to the problem is established. It is found that the energy decay rate is optimal, in the sense that, it is the same as that of the relaxation function.

Original languageEnglish
Pages (from-to)335-348
Number of pages14
JournalJournal of Integral Equations and Applications
Volume34
Issue number3
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© Rocky Mountain Mathematics Consortium

Keywords

  • Neutral delay
  • Optimal stability
  • Viscoelastic equation

ASJC Scopus subject areas

  • Numerical Analysis
  • Applied Mathematics

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