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2022 / September Volume 17 No.3
Solvability of nonlinear hyperbolic equation with nonlinear integral Neumann conditions
Published Date
2022 / September
Title
Solvability of nonlinear hyperbolic equation with nonlinear integral Neumann conditions
Author
Oussaeif Taki-Eddine, Chebana Zainouba, Ouannas Adel
Keyword
Hyperbolic equation, nonlinear integral condition, Faedo-Galerkin method, existence
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Pagination
333-354
Abstract
In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition, where we prove the existence and the uniqueness of the linear problem by the Faedo-Galerkin method. By applying an iterative process to some significant results obtained for the linear problem, the existence and the uniqueness of the weak solution for the nonlinear problem are additionally examined.
DOI
10.21915/BIMAS.2022303
https://doi.org/10.21915/BIMAS.2022303
AMS Subject
Classification
35D30, 35L05, 35L70
Received
2022-04-19
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