Exponential decay for a neutral wave equation

Nasser Eddine Tatar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

A strongly damped wave equation involving a delay of neutral type in its second order derivative is considered. It is proved that solutions decay to zero exponentially despite the fact that delays are, in general, sources of instability.

Original languageEnglish
Pages (from-to)1267-1274
Number of pages8
JournalJournal of Applied Analysis and Computation
Volume7
Issue number4
DOIs
StatePublished - 2017

Bibliographical note

Publisher Copyright:
© 2017, Wilmington Scientific Publisher. All rights reserved.

Keywords

  • Exponential decay
  • Modified energy
  • Multiplier technique
  • Neutral delay
  • Stability

ASJC Scopus subject areas

  • General Mathematics

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