On the existence of solutions for strongly nonlinear differential equations

被引：0

作者：

Al-Khaled, Kamel ^{[2
]}

Hajji, Mohamed Ali ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, Al Ain, U Arab Emirates

[2] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 02期

关键词：

nonlinear differential equations; periodic solutions; existence of solutions; approximate solutions; homotopy perturbation method;

D O I：

10.1016/j.jmaa.2008.03.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1165 / 1175

页数：11

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