Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations

Donal O'Regan

doi:10.1080/00036810802428979

Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

Using the mixed monotone method we establish the existence and uniqueness of positive solutions for coupled systems of second-order three-point non-linear differential and difference equations. The theorems obtained are very general and complement previously known results.

Original language	English (Ireland)
Pages (from-to)	921-932
Number of pages	12
Journal	Applicable Analysis
Volume	87
Issue number	8
DOIs	https://doi.org/10.1080/00036810802428979
Publication status	Published - 1 Aug 2008

Keywords

34B15
34B16
39A10
Coupled systems of boundary value problem
Existence
Positive solutions
Uniqueness

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Yuan, CJ,Jiang, DQ,O'Regan, D,Agarwal, RP

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10.1080/00036810802428979

Cite this

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title = "Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations",

abstract = "Using the mixed monotone method we establish the existence and uniqueness of positive solutions for coupled systems of second-order three-point non-linear differential and difference equations. The theorems obtained are very general and complement previously known results.",

keywords = "34B15, 34B16, 39A10, Coupled systems of boundary value problem, Existence, Positive solutions, Uniqueness",

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year = "2008",

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T1 - Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations

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N2 - Using the mixed monotone method we establish the existence and uniqueness of positive solutions for coupled systems of second-order three-point non-linear differential and difference equations. The theorems obtained are very general and complement previously known results.

AB - Using the mixed monotone method we establish the existence and uniqueness of positive solutions for coupled systems of second-order three-point non-linear differential and difference equations. The theorems obtained are very general and complement previously known results.

KW - 34B15

KW - 34B16

KW - 39A10

KW - Coupled systems of boundary value problem

KW - Existence

KW - Positive solutions

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/84975834443

U2 - 10.1080/00036810802428979

DO - 10.1080/00036810802428979

M3 - Article

VL - 87

SP - 921

EP - 932

JO - Applicable Analysis

JF - Applicable Analysis

IS - 8

ER -

Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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