<p>This work is concerned with a wave equation with a logarithmic nonlinearity, by supposing the distributed delay coupled by the fractional conditions. Under suitable hypotheses and negative initial energy, we prove the blow-up of solutions.</p>

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Blowing-up of solutions for a wave equation with logarithmic source and distributed delay combined by fractional conditions in the internal feedback

  • Abdelbaki Choucha,
  • Salah Boulaaras,
  • Behzad Djafari Rouhani

摘要

This work is concerned with a wave equation with a logarithmic nonlinearity, by supposing the distributed delay coupled by the fractional conditions. Under suitable hypotheses and negative initial energy, we prove the blow-up of solutions.