Two nonnegative solutions for two-dimensional nonlinear wave equations

Svetlin Georgiev; Mohamed Majdoub

doi:10.56754/0719-0646.2403.0393

DOI:

https://doi.org/10.56754/0719-0646.2403.0393

Abstract

We study a class of initial value problems for two-dimensional nonlinear wave equations. A new topological approach is applied to prove the existence of at least two nonnegative classical solutions. The arguments are based upon a recent theoretical result.

Keywords

Hyperbolic equations , positive solution , fixed point , cone , sum of operators

Svetlin Georgiev Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria. https://orcid.org/0000-0001-8015-4226
Mohamed Majdoub Department of Mathematics, College of Science, Imam Abdulrahman Bin Faisal University, P. O. Box 1982, Dammam, Saudi Arabia – Basic and Applied Scientific Research Center, Imam Abdulrahman Bin Faisal University, P.O. Box 1982, 31441, Dammam, Saudi Arabia. https://orcid.org/0000-0001-6038-1069

Pages: 393–412
Date Published: 2022-12-21
Vol. 24 No. 3 (2022)

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