Classical solutions for a class of nonlinear wave equations

We study a class of initial value problems subject to nonlinear partial differential equations of hyperbolic type. A new topological approach is applied to prove the existence of nontrivial nonnegative solutions. More precisely, we propose a new integral representation of the solutions for the consi...

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Bibliographic Details
Main Authors: Georgiev Svetlin, Mebarki Karima, Zennir Khaled
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2021-01-01
Series:Theoretical and Applied Mechanics
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2021/1450-55842100013G.pdf