DAMPED BRESSE SYSTEM WITH INFINITE MEMORIES

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Abstract

In this paper, we consider a one-dimensional Bresse system with infinite memories acting in the three equations of the system alternatively with frictional dampings. We establish well-posedness and asymptotic stability results for the system under some conditions imposed into the relaxation functions regardless to the speeds of wave propa-gation.

Original languageEnglish
Pages (from-to)245-267
Number of pages23
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume27
Issue number4
StatePublished - 2020

Bibliographical note

Publisher Copyright:
© 2020 Watam Press.

Keywords

  • Bresse system
  • Frictional damping
  • Infinite memory
  • Uniform decay
  • Well-posedness

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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