Generalized quasilinearization method for second-order boundary value problems

被引：17

作者：

Mohapatra, RN ^{[1
]}

Vajravelu, K

Yin, Y

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Florida Inst Technol, Dept Appl Math, Melbourne, FL 32901 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 36卷 / 06期

关键词：

quasilinearization; convergence; two-point boundary value problem; periodic boundary value problem; upper and lower solutions;

D O I：

10.1016/S0362-546X(98)00131-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method which enables determine the monotone sequences not only converging uniformly to the unique solution of boundary value problem (BVP), but also possessing convergence rates higher than quadratic, is developed. Periodic boundary value problems (PBVP) are also studied to prove the convergence and state a general results whose proof can be completed using analogous arguments. Theorems are presented in conjunction with the method applied.

引用

页码：799 / 806

页数：8

共 8 条

[1]

Bernfeld S., 1974, INTRO NONLINEAR BOUN

[2]

Ladde GS., 1985, MONOTONE ITERATIVE T

[3]

Lakshmikantham V., 1989, J APPL MATH SIMUL, V2, P131

[4]

LAKSHMIKANTHAM V, 1995, NONLINEAR WORLD, V2, P233

[5]

MALEK S, 1994, WSS APPL AN, V3, P449

[6] Extension of the method of quasilinearization and rapid convergence [J].

Mohapatra, RN ;

Vajravelu, K ;

Yin, Y .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1998, 96 (03) :667-682

[7]

MOHAPATRA RN, IN PRESS J OPTIMIZAT

[8]

Shahzad N., 1995, DYNAMIC SYSTEMS APPL, V4, P79

← 1 →