On the existence of solutions for strongly nonlinear differential equations

Kamel Al-Khaled; Mohamed Ali Hajji

doi:10.1016/j.jmaa.2008.03.022

On the existence of solutions for strongly nonlinear differential equations

Kamel Al-Khaled, Mohamed Ali Hajji^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

The objectives of this paper are twofold. Firstly, to prove the existence of an approximate solution in the mean for some nonlinear differential equations, we also investigate the behavior of the class of solutions which may be associated with the differential equation. Secondly, we aim to implement the homotopy perturbation method (HPM) to find analytic solutions for strongly nonlinear differential equations.

Original language	English
Pages (from-to)	1165-1175
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	344
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2008.03.022
Publication status	Published - Aug 15 2008
Externally published	Yes

Keywords

Approximate solutions
Existence of solutions
Homotopy perturbation method
Nonlinear differential equations
Periodic solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2008.03.022

Cite this

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abstract = "The objectives of this paper are twofold. Firstly, to prove the existence of an approximate solution in the mean for some nonlinear differential equations, we also investigate the behavior of the class of solutions which may be associated with the differential equation. Secondly, we aim to implement the homotopy perturbation method (HPM) to find analytic solutions for strongly nonlinear differential equations.",

keywords = "Approximate solutions, Existence of solutions, Homotopy perturbation method, Nonlinear differential equations, Periodic solutions",

author = "Kamel Al-Khaled and Hajji, {Mohamed Ali}",

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AU - Hajji, Mohamed Ali

PY - 2008/8/15

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AB - The objectives of this paper are twofold. Firstly, to prove the existence of an approximate solution in the mean for some nonlinear differential equations, we also investigate the behavior of the class of solutions which may be associated with the differential equation. Secondly, we aim to implement the homotopy perturbation method (HPM) to find analytic solutions for strongly nonlinear differential equations.

KW - Approximate solutions

KW - Existence of solutions

KW - Homotopy perturbation method

KW - Nonlinear differential equations

KW - Periodic solutions

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ER -

On the existence of solutions for strongly nonlinear differential equations

Abstract

Keywords

ASJC Scopus subject areas

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