Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems

Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems

This paper provides sufficient conditions for the existence and uniqueness of positive solutions to a singular differential system with integral boundary value. The emphasis here is that the boundary conditions are coupled and this is where the main novelty of this work lies. By mixed monotone metho...

Full description

Bibliographic Details
Main Authors: Yujun Cui, Lishan Liu, Xingqiu Zhang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/340487
id doaj-ab1ab386ec774458b90ba5ac9c829088
record_format Article
spelling doaj-ab1ab386ec774458b90ba5ac9c8290882020-11-24T23:30:48ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/340487340487Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value ProblemsYujun Cui0Lishan Liu1Xingqiu Zhang2School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaDepartment of Mathematics, Liaocheng University, Liaocheng, Shandong 252059, ChinaThis paper provides sufficient conditions for the existence and uniqueness of positive solutions to a singular differential system with integral boundary value. The emphasis here is that the boundary conditions are coupled and this is where the main novelty of this work lies. By mixed monotone method, the existence and uniqueness results of the problem are established. An example is given to demonstrate the main results.http://dx.doi.org/10.1155/2013/340487
collection DOAJ
language English
format Article
sources DOAJ
author Yujun Cui
Lishan Liu
Xingqiu Zhang
spellingShingle Yujun Cui
Lishan Liu
Xingqiu Zhang
Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems
Abstract and Applied Analysis
author_facet Yujun Cui
Lishan Liu
Xingqiu Zhang
author_sort Yujun Cui
title Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems
title_short Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems
title_full Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems
title_fullStr Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems
title_full_unstemmed Uniqueness and Existence of Positive Solutions for Singular Differential Systems with Coupled Integral Boundary Value Problems
title_sort uniqueness and existence of positive solutions for singular differential systems with coupled integral boundary value problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper provides sufficient conditions for the existence and uniqueness of positive solutions to a singular differential system with integral boundary value. The emphasis here is that the boundary conditions are coupled and this is where the main novelty of this work lies. By mixed monotone method, the existence and uniqueness results of the problem are established. An example is given to demonstrate the main results.
url http://dx.doi.org/10.1155/2013/340487
work_keys_str_mv AT yujuncui uniquenessandexistenceofpositivesolutionsforsingulardifferentialsystemswithcoupledintegralboundaryvalueproblems
AT lishanliu uniquenessandexistenceofpositivesolutionsforsingulardifferentialsystemswithcoupledintegralboundaryvalueproblems
AT xingqiuzhang uniquenessandexistenceofpositivesolutionsforsingulardifferentialsystemswithcoupledintegralboundaryvalueproblems
_version_ 1725540274762940416

Similar Items