The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

被引：68

作者：

Zhang, ZX ^{[1
]}

Wang, JY ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130021, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 147卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Singular nonlinear second order three-point boundary value problems; method of upper and lower solutions; monotone iterative technique; maximum principle;

D O I：

10.1016/S0377-0427(02)00390-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop the upper and lower solution method and the monotone iterative technique for a class of singular nonlinear second order three-point boundary value problems. A maximum principle is established and some new existence results are obtained. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：41 / 52

页数：12

共 50 条

[21] Positive solutions of second-order semipositone singular three-point boundary value problems
Guo, Yingxin
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (05) : 1 - 11
[22] The Lower and Upper Solution Method for Three-Point Boundary Value Problems with Integral Boundary Conditions on a Half-Line
Akcan, Ummahan
Cetin, Erbil
FILOMAT, 2018, 32 (01) : 341 - 353
[23] Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order
Li, Fangfei
Jia, Mei
Liu, Xiping
Li, Chuling
Li, Gaoshang
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (08) : 2381 - 2388
[24] A three-point finite difference method for a class of singular two-point boundary value problems
Kumar, M
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (01) : 89 - 97
[25] The generalized quasilinearization method for second-order three-point boundary value problems
Minghe, Pei
Chang, Sung Kag
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) : 2779 - 2790
[26] Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method
Geng, Fazhan
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (06) : 2095 - 2102
[27] Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order
Li, Fangfei
Sun, Jitao
Jia, Mei
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (09) : 4840 - 4847
[28] Positive solutions of a singular second order three-point boundary value problem
Wen-Bo Q.
Zhong-Xin Z.
Jun-De W.
Applied Mathematics and Mechanics (English Edition), 2002, 23 (07) : 854 - 866
[29] Second order three-point boundary value problems in abstract spaces
Mieczysław Cichoń
Hussein A. H. Salem
Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 1131 - 1152
[30] Second order three-point boundary value problems in abstract spaces
Cichon, Mieczyslaw
Salem, Hussein A. H.
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (04): : 1131 - 1152

← 1 2 3 4 5 →