On the existence of solutions for strongly nonlinear differential equations

Kamel Al-Khaled, Mohamed Ali Hajji

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1165-1175
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume344
Issue number2
DOIs
Publication statusPublished - Aug 15 2008

Fingerprint

Nonlinear Differential Equations
Existence of Solutions
Differential equations
Homotopy Perturbation Method
Analytic Solution
Approximate Solution
Differential equation
Class

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

On the existence of solutions for strongly nonlinear differential equations. / Al-Khaled, Kamel; Hajji, Mohamed Ali.

In: Journal of Mathematical Analysis and Applications, Vol. 344, No. 2, 15.08.2008, p. 1165-1175.

Research output: Contribution to journalArticle

Al-Khaled, Kamel ; Hajji, Mohamed Ali. / On the existence of solutions for strongly nonlinear differential equations. In: Journal of Mathematical Analysis and Applications. 2008 ; Vol. 344, No. 2. pp. 1165-1175.
@article{0bec94c4c4d545b993780973cc810f0d,
title = "On the existence of solutions for strongly nonlinear differential equations",
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}",
year = "2008",
month = "8",
day = "15",
doi = "10.1016/j.jmaa.2008.03.022",
language = "English",
volume = "344",
pages = "1165--1175",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "2",

}

TY - JOUR

T1 - On the existence of solutions for strongly nonlinear differential equations

AU - Al-Khaled, Kamel

AU - Hajji, Mohamed Ali

PY - 2008/8/15

Y1 - 2008/8/15

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=43449136151&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43449136151&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2008.03.022

DO - 10.1016/j.jmaa.2008.03.022

M3 - Article

VL - 344

SP - 1165

EP - 1175

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -