A note on upper and lower solutions for singular initial value problems

被引：0

作者：

Agarwal, RP

O'Regan, D

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2001年 / 24卷 / 01期

关键词：

D O I：

10.1002/1099-1476(20010110)24:1<49::AID-MMA192>3.0.CO;2-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An upper and lower solution theory is presented for singular initial Value problems. Our non-linear term may be singular in both the independent and dependent variable. Existence will be established using Schauder's fixed point theorem and the Arzela-Ascoli theorem. Copyright (C) 2001 John Wiley & Sons, Ltd.

引用

页码：49 / 57

页数：9

共 50 条

[1] UPPER AND LOWER BOUNDS ON SOLUTIONS OF INITIAL VALUE PROBLEMS
BREUER, S
GOTTLIEB, D
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1971, 36 (02) : 283 - &
[2] A generalized upper and lower solution method for singular initial value problems
Agarwal, RP
O'Regan, D
Lakshmikantham, V
Leela, S
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) : 739 - 750
[3] Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory
Haishen Lü
Donal O'Regan
Advances in Difference Equations, 2005
[4] Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory
Lu, Haishen
O'Regan, Donal
ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) : 205 - 214
[5] Construction of upper and lower solutions with applications to singular boundary value problems
Agarwal, RP
O'Regan, D
Precup, R
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2005, 7 (02) : 205 - 221
[6] Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach
Agarwal, RP
O'Regan, D
Lakshmikantham, V
Leela, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (02) : 215 - 222
[7] Abstract method of upper and lower solutions and application to singular boundary value problems
Precup, Radu
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2016, 61 (04): : 443 - 451
[8] EXISTENCE OF SOLUTIONS AND CONVERGENCE RESULTS FOR DYNAMIC INITIAL VALUE PROBLEMS USING LOWER AND UPPER SOLUTIONS
Zaidi, Atiya H.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[9] Number of zeros of solutions to singular initial value problems
Kabeya, Y
Yanagida, E
Yotsutani, S
TOHOKU MATHEMATICAL JOURNAL, 1998, 50 (01) : 1 - 22
[10] A NOTE ON UPPER AND LOWER SOLUTIONS METHOD FOR FOURTH-ORDER BOUNDARY VALUE PROBLEMS
Zhao Hong (School of Math.
Annals of Differential Equations, 2008, (01) : 117 - 120

← 1 2 3 4 5 →