Abstract
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.
Highlights
Georgiev abstract: In this article we consider a new class of an Emden-Fowler type semilinear degenerate wave equation with memory
The main contributions here is to exhibit that the memory lets the global solutions of the degenerate problem still non-exist in L2 at finite time ln T1∗, s.t
The present research aims to extend the study of EmdenFowler type simple wave equation to the case when the degenerate viscoelastic term is injected in [r1, r2] where it seems that there is no result about this topic
Summary
Georgiev abstract: In this article we consider a new class of an Emden-Fowler type semilinear degenerate wave equation with memory. The main contributions here is to exhibit that the memory lets the global solutions of the degenerate problem still non-exist in L2 at finite time ln T1∗, s.t. This is to extend recent result by [19] for the dissipative case. The present research aims to extend the study of EmdenFowler type simple wave equation to the case when the degenerate viscoelastic term is injected in [r1, r2] where it seems that there is no result about this topic.
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