Quadratic approximation of solutions for boundary value problems with nonlocal boundary conditions

被引：1

作者：

Sun, Li ^{[1
,2
]}

Zhou, Mingru ^{[1
]}

Wang, Guangwa ^{[1
]}

机构：

[1] Xuzhou Normal Univ, Sch Math, Xuzhou 221116, Peoples R China

[2] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221008, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 06期

关键词：

Quasilinearization; Nonlinear boundary value problem; Upper and lower solutions; Quadratic convergence; GENERALIZED QUASI-LINEARIZATION; NONLINEAR DIFFERENTIAL-EQUATIONS; RAPID CONVERGENCE; EXTENSIONS; EXISTENCE;

D O I：

10.1016/j.camwa.2011.01.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using the quasilinearization method coupled with the method of upper and lower solutions, we study a class of second-order nonlinear boundary value problems with nonlocal boundary conditions. We establish some sufficient conditions under which corresponding monotone sequences converge uniformly and quadratically to the unique solution of the problem. An example is also included to illustrate the main result. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1547 / 1558

页数：12

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