New results on blow-up of solutions for Emden-Fowler type degenerate wave equation with memory

Khaled Zennir; Svetlin G. Georgiev

doi:10.5269/bspm.40397

Khaled Zennir Qassim University https://orcid.org/0000-0001-7889-6386
Svetlin G. Georgiev University of Sofia

Résumé

In this article we consider a new class of a Emden-Fowler type semilinear degenerate wave equation with memory. The main contributions here is to show that the memory lets the global solutions of the degenerate problem still non-exist without any conditions on the nature of growth of the relaxation function. This is to extend the paper in \cite{L11} for the dissipative case.

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