General energy decay estimate for a viscoelastic damped swelling porous elastic soils with time delay

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Yüksekkaya H., Pişkin E.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, no.2023, pp.1-16, 2023 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1-16
  • Open Archive Collection: AVESIS Open Access Collection
  • Hakkari University Affiliated: No

Abstract

This paper is concerned with the viscoelastic damped swelling porous elastic

soils with time delay. Under more general assumption on the relaxation function

and some specific conditions on theweight of the delay,we establish general

decay results by using multiplier method and some properties of convex functions.

These results generalize and improve some earlier related results in the

literature.