Delayed wave equation with logarithmic variable-exponent nonlinearity-Reference-Cited by-同舟云学术

Delayed wave equation with logarithmic variable-exponent nonlinearity

Published:2023 Issue:5 Volume:31 Page:2974-2993
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Kafini Mohammad¹²,Noor Maher²³

Affiliation:

1. Department of Mathematics, The interdisciplinary research center in construction and building materials

2. King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

3. Department of Mathematics, Dammam Community College

Abstract

<abstract><p>A delayed nonlinear wave equation with variable exponents of logarithmic type is discussed in this paper. In the presence of the logarithmic nonlinear source, we established a global existence result under sufficient conditions on the initial data only without imposing the Sobolev Logarithmic Inequality. After that, we established global results of exponential and polynomial types according to the range values of the exponents. At the end, we give a numerical study that supports our theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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