Existence of three solutions to integral and discrete equations via the Leggett Williams fixed point theorem

被引：20

作者：

Agarwal, RP

O'Regan, D

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore

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

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2001年 / 31卷 / 01期

关键词：

D O I：

10.1216/rmjm/1008959665

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Criteria are developed for the existence of three nonnegative solutions to integral and discrete equations. The strategy involves using the Leggett Williams fixed point theorem.

引用

页码：23 / 35

页数：13

共 9 条

[1] Agarwal R.P., 1999, POSITIVE SOLUTIONS D
[2] Multiple solutions for higher-order difference equations
Agarwal, RP
O'Regan, D
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (09) : 39 - 48
[3] AGARWAL RP, 2000, MEM DIFFERENTIAL EQU, V19, P107
[4] Three positive solutions to a discrete focal boundary value problem
Anderson, D
Avery, R
Peterson, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 88 (01) : 103 - 118
[5] [Anonymous], 1998, EXISTENCE THEORY NON
[6] Guo D., 1988, NONLINEAR PROBLEMS A
[7] MULTIPLE POSITIVE FIXED-POINTS OF NON-LINEAR OPERATORS ON ORDERED BANACH-SPACES
LEGGETT, RW
WILLIAMS, LR
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) : 673 - 688
[8] Results and estimates on multiple solutions of lidstone boundary value problems
Wong, PJY
Agarwal, RP
[J]. ACTA MATHEMATICA HUNGARICA, 2000, 86 (1-2) : 137 - 168
[9] Criteria for multiple solutions of difference and partial difference equations subject to multipoint conjugate conditions
Wong, PJY
Agarwal, RP
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) : 629 - 661

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