Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function
By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. The theorems obtained are very general and complement previous kno...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/640183 |
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| _version_ | 1832553926658883584 |
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| author | Peiguo Zhang Lishan Liu Yonghong Wu |
| author_facet | Peiguo Zhang Lishan Liu Yonghong Wu |
| author_sort | Peiguo Zhang |
| collection | DOAJ |
| description | By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. The theorems obtained are very general and complement previous known results. |
| format | Article |
| id | doaj-art-1578467e16b54d3c8edc8015b7790aab |
| 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-1578467e16b54d3c8edc8015b7790aab2025-02-03T05:52:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/640183640183Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s FunctionPeiguo Zhang0Lishan Liu1Yonghong Wu2Department of Mathematics, Heze University, Heze, Shandong 274000, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, AustraliaBy using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. The theorems obtained are very general and complement previous known results.http://dx.doi.org/10.1155/2013/640183 |
| spellingShingle | Peiguo Zhang Lishan Liu Yonghong Wu Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function Abstract and Applied Analysis |
| title | Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function |
| title_full | Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function |
| title_fullStr | Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function |
| title_full_unstemmed | Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function |
| title_short | Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function |
| title_sort | existence and uniqueness of solution to nonlinear boundary value problems with sign changing green s function |
| url | http://dx.doi.org/10.1155/2013/640183 |
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