Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

Iqbal M. Batiha; Zainouba Chebana; Taki Eddine Oussaeif; Adel Ouannas; Iqbal H. Jebril; Mutaz Shatnawi

doi:10.28924/2291-8639-21-2023-34

Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

Iqbal M. Batiha
, Zainouba Chebana
, Taki Eddine Oussaeif
, Adel Ouannas
, Iqbal H. Jebril
, Mutaz Shatnawi

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Oum El Bouaghi
Irbid National University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition. In particular, we prove the existence and the uniqueness of the linear problem by the Fadeo Galerkin method, and 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.

Original language	English
Article number	34
Journal	International Journal of Analysis and Applications
Volume	21
DOIs	https://doi.org/10.28924/2291-8639-21-2023-34
State	Published - 2023

Keywords

hyperbolic equation
nonlinear integral condition
weak existence

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10.28924/2291-8639-21-2023-34

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title = "Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions",

abstract = "In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition. In particular, we prove the existence and the uniqueness of the linear problem by the Fadeo Galerkin method, and 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.",

keywords = "hyperbolic equation, nonlinear integral condition, weak existence",

author = "Batiha, \{Iqbal M.\} and Zainouba Chebana and Oussaeif, \{Taki Eddine\} and Adel Ouannas and Jebril, \{Iqbal H.\} and Mutaz Shatnawi",

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T1 - Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

AU - Batiha, Iqbal M.

AU - Chebana, Zainouba

AU - Oussaeif, Taki Eddine

AU - Ouannas, Adel

AU - Jebril, Iqbal H.

AU - Shatnawi, Mutaz

PY - 2023

Y1 - 2023

N2 - In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition. In particular, we prove the existence and the uniqueness of the linear problem by the Fadeo Galerkin method, and 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.

AB - In this paper, we examine a nonlinear hyperbolic equation with a nonlinear integral condition. In particular, we prove the existence and the uniqueness of the linear problem by the Fadeo Galerkin method, and 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.

KW - hyperbolic equation

KW - nonlinear integral condition

KW - weak existence

UR - https://www.scopus.com/pages/publications/85154029066

U2 - 10.28924/2291-8639-21-2023-34

DO - 10.28924/2291-8639-21-2023-34

M3 - Article

AN - SCOPUS:85154029066

SN - 2291-8639

VL - 21

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 34

ER -

Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions

Abstract

Keywords

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