Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents

Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents Full article

Journal

Electronic Journal of Differential Equations
ISSN: 1072-6691

Output data

Year: 2021, Volume: 2021, Number: 84, Pages: 1-20 Pages count : 20 DOI: 10.22541/au.160975791.14681913/v1

Tags

BLOW UP, DECAY, DELAY TERM, VARIABLE EXPONENTS

Authors

Antontsev Stanislav Nikolaevich ¹ , Ferreira Jorge ² , Pişkin Erhan ³ , Yüksekkaya Hazal ³ , Shahrouzi Mohammad ⁴

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia
2	Federal Fluminense University
3	Department of Mathematics, Dicle University, Diyarbakır, Turkey
4	Jahrom University

In this article, we consider a nonlinear p(x)-Laplacian equation with time delay and variable exponents. Firstly, we prove the blow up of solutions. Then, by applying an integral inequality due to Komornik, we obtain the decay result.

Antontsev S.N. , Ferreira J. , Pişkin E. , Yüksekkaya H. , Shahrouzi M.
Blow up and asymptotic behavior of solutions for a p(x)-Laplacian equation with delay term and variable exponents
Electronic Journal of Differential Equations. 2021. V.2021. N84. P.1-20. DOI: 10.22541/au.160975791.14681913/v1 РИНЦ OpenAlex

Published print:

Jan 4, 2021

Elibrary:	47514943
OpenAlex:	W3119853710

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