Global nonexistence for viscoelastic equations with distributed delay and variable exponents

  • Tae Gab Ha
  • , Sun Hye Park*
  • *Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

Abstract

In this paper, we consider a viscoelastic equation with distributed delay and variable exponents. We show the global nonexistence of solutions for the equation. Using the energy method, we show that the solutions with not only negative initial energy but also positive initial energy blow up in finite time.

Original languageEnglish
Pages (from-to)1146-1161
Number of pages16
JournalApplicable Analysis
Volume104
Issue number6
DOIs
StatePublished - 2025

Keywords

  • distributed delay
  • Global nonexistence
  • variable exponent
  • viscoelastic equation

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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