Two nonnegative solutions for two-dimensional nonlinear wave equations

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.

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Bibliographic Details
Published in:Cubo (Temuco, Chile) Chile), 2022-12, Vol.24 (3), p.393-412
Main Authors: Georgiev, Svetlin, Majdoub, Mohamed
Format: Article
Language:English
Subjects:
cone
fixed point
hyperbolic equations
MATHEMATICS
MATHEMATICS, APPLIED
positive solution
sum of operators
Online Access:Get full text
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Description
Summary: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.
ISSN:0719-0646
0716-7776
0719-0646
DOI:10.56754/0719-0646.2403.0393