A general decay result of a viscoelastic equation with infinite history and nonlinear damping

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Abstract

In this paper, we consider a viscoelastic equation with a nonlinear frictional damping and in the presence of an infinite-memory term. We prove an explicit and general decay result using some properties of the convex functions. Our approach allows a wider class of kernels, from which those of exponential decay type are only special cases.

Original languageEnglish
Pages (from-to)382-399
Number of pages18
JournalApplicable Analysis
Volume97
Issue number3
DOIs
StatePublished - 17 Feb 2018

Bibliographical note

Publisher Copyright:
© 2016 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • General decay
  • convexity
  • infinite memory
  • viscoelastic

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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