Nonexistence of global solutions of a delayed wave equation with variable-exponents

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Yüksekkaya H., Pişkin E.

MISKOLC MATHEMATICAL NOTES, vol.22, no.2021, pp.841-859, 2021 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 22 Issue: 2021
  • Publication Date: 2021
  • Doi Number: 10.18514/mmn.2021.3487
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.841-859
  • Hakkari University Affiliated: No

Abstract

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

Firstly, we establish the local existence result by the Faedo-Galerkin method. Later, we prove

the blow-up of solutions in a finite time. Our results are more general than the earlier results.