A stability result for viscoelastic piezoelectric system with nonlinear feedback

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1 Scopus citations

Abstract

In this work, we consider a nonlinear viscoelastic piezoelectric beam in the presence of an infinite memory and a nonlinear frictional damping of general type. We investigate the interaction between the two dampings and establish, under general assumptions on the relaxation function and the nonlinear feedback, an explicit formula for the energy decay rates of this system.

Original languageEnglish
Pages (from-to)1407-1425
Number of pages19
JournalApplicable Analysis
Volume104
Issue number8
DOIs
StatePublished - 2025

Bibliographical note

Publisher Copyright:
© 2024 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

  • Piezoelectric beam
  • general decay
  • infinite memory
  • nonlinear feedback
  • viscoelastic damping

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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