EXISTENCE AND EXPONENTIAL DECAY OF A LOGARITHMIC WAVE EQUATION WITH DISTRIBUTED DELAY

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Yüksekkaya H., Pişkin E.

MISKOLC MATHEMATICAL NOTES, vol.24, no.2023, pp.1057-1071, 2023 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 24 Issue: 2023
  • Publication Date: 2023
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.1057-1071
  • Hakkari University Affiliated: No

Abstract

In this article, we deal with a logarithmic wave equation with distributed delay. Firstly,

we establish the well-posedness by utilizing the semigroup theory. Later, we obtain the global

existence of solutions by using the well-depth method. Moreover, under appropriate assumptions

on the weight of the distributed delay and that of strong damping, we get the exponential decay

results.