Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem

Iqbal M. Batiha

doi:10.28924/2291-8639-20-2022-62

Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem

Iqbal M. Batiha

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan

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

18 Scopus citations

Abstract

In this paper, we aim to study the solutions of superlinear hyperbolic problems with boundary condition of Dirichlet type where we show the existence and the uniqueness of the strong solutions for the superlinear problems by the method of energy inequality.

Original language	English
Article number	62
Journal	International Journal of Analysis and Applications
Volume	20
DOIs	https://doi.org/10.28924/2291-8639-20-2022-62
State	Published - 2022

Keywords

energy inequality method
existence
nonlinear hyperbolic equation
uniqueness

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title = "Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem",

abstract = "In this paper, we aim to study the solutions of superlinear hyperbolic problems with boundary condition of Dirichlet type where we show the existence and the uniqueness of the strong solutions for the superlinear problems by the method of energy inequality.",

keywords = "energy inequality method, existence, nonlinear hyperbolic equation, uniqueness",

author = "Batiha, \{Iqbal M.\}",

note = "Publisher Copyright: {\textcopyright} 2022 the author(s).",

year = "2022",

doi = "10.28924/2291-8639-20-2022-62",

language = "English",

volume = "20",

journal = "International Journal of Analysis and Applications",

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publisher = "Semnan University, Center of Excellence in Nonlinear Analysis and Applications",

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TY - JOUR

T1 - Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem

AU - Batiha, Iqbal M.

PY - 2022

Y1 - 2022

N2 - In this paper, we aim to study the solutions of superlinear hyperbolic problems with boundary condition of Dirichlet type where we show the existence and the uniqueness of the strong solutions for the superlinear problems by the method of energy inequality.

AB - In this paper, we aim to study the solutions of superlinear hyperbolic problems with boundary condition of Dirichlet type where we show the existence and the uniqueness of the strong solutions for the superlinear problems by the method of energy inequality.

KW - energy inequality method

KW - existence

KW - nonlinear hyperbolic equation

KW - uniqueness

UR - https://www.scopus.com/pages/publications/85142051264

U2 - 10.28924/2291-8639-20-2022-62

DO - 10.28924/2291-8639-20-2022-62

M3 - Article

AN - SCOPUS:85142051264

SN - 2291-8639

VL - 20

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 62

ER -

Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem

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Keywords

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