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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/340487 |
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| _version_ | 1832565524382351360 |
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| author | Yujun Cui Lishan Liu Xingqiu Zhang |
| author_facet | Yujun Cui Lishan Liu Xingqiu Zhang |
| author_sort | Yujun Cui |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-ab1ab386ec774458b90ba5ac9c829088 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ab1ab386ec774458b90ba5ac9c8290882025-02-03T01:07:26ZengWileyAbstract 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/340487 |
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