Generalized quasilinearization for systems of nonlinear differential equations with periodic boundary conditions

被引：0

作者：

Kamar, ARA ^{[1
]}

Drici, Z

机构：

[1] Mansoura Univ, Dept Math & Phys Sci, Fac Engn, Mansoura, Egypt

[2] Illinois Wesleyan Univ, Dept Math & Comp Sci, Bloomington, IL 61702 USA

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS | 2005年 / 12卷 / 01期

关键词：

generalized quasilinearization; tipper and lower solutions; periodic boundary value problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we extend the method of generalized quasilinearization to systems of nonlinear differential equations with periodic boundary conditions. More specifically, we construct, tinder suitable conditions, monotone sequences of lower and tipper approximate solutions which converge uniformly and quadratically to the unique solution of the periodic boundary problem.

引用

页码：77 / 85

页数：9

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