On a viscoelastic plate equation with a polynomial source term and p(x,t)-Laplacian operator in the presence of delay term

Main Article Content

Ahlem Merah
https://orcid.org/0000-0002-2531-9523
Fatiha Mesloub

Abstract

In this paper, the blow-up of solutions for a Dirichlet-Neumann problem to initial nonlinear viscoelastic plate equation with a lower order perturbation of p(x,t)-Laplacian operator in the presence of time delay is obtained. Under suitable conditions on g and the variable exponent of the p(x,t)-Laplacian operator, we prove that any weak solution with nonpositive initial energy as well as positive initial energy blows up in a finite time.


 


 

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How to Cite
[1]
Merah, A. and Mesloub, F. 2022. On a viscoelastic plate equation with a polynomial source term and p(x,t)-Laplacian operator in the presence of delay term. Journal of Innovative Applied Mathematics and Computational Sciences. 2, 1 (Jun. 2022), 92–107. DOI:https://doi.org/10.58205/jiamcs.v2i1.30.
Section
Research Articles

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