BLOW-UP AND DECAY OF SOLUTIONS FOR A DELAYED TIMOSHENKO EQUATION WITH VARIABLE-EXPONENTS

Creative Commons License

Yüksekkaya H., Pişkin E.

MISKOLC MATHEMATICAL NOTES, vol.23, no.2022, pp.1001-1022, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 23 Issue: 2022
  • Publication Date: 2022
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.1001-1022
  • Hakkari University Affiliated: No

Abstract

This work deals with a Timoshenko equation with delay term and variable exponents.

Firstly, we obtain the blow up of solutions for negative initial energy in a finite time. Later, we

establish the decay results by using an integral inequality due to Komornik. These, improve and

extend the previous studies in the literature.