Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems
Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems....
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/263042 |
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| _version_ | 1832565046450847744 |
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| author | Hongyu Li |
| author_facet | Hongyu Li |
| author_sort | Hongyu Li |
| collection | DOAJ |
| description | Using fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. Our results improve and generalize on those in the literatures. |
| format | Article |
| id | doaj-art-a818c78c41814c99af32bc13f7d090c1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a818c78c41814c99af32bc13f7d090c12025-02-03T01:09:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/263042263042Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value ProblemsHongyu Li0Department of Mathematics, Shandong University of Science and Technology, Qingdao, Shandong 266590, ChinaUsing fixed point theorems in ordered Banach spaces with the lattice structure, we consider the existence of nontrivial solutions under the condition that the nonlinear term can change sign and study the existence of sign-changing solutions for some second order three-point boundary value problems. Our results improve and generalize on those in the literatures.http://dx.doi.org/10.1155/2014/263042 |
| spellingShingle | Hongyu Li Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems Abstract and Applied Analysis |
| title | Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems |
| title_full | Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems |
| title_fullStr | Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems |
| title_full_unstemmed | Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems |
| title_short | Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems |
| title_sort | existence of nontrivial solutions for unilaterally asymptotically linear three point boundary value problems |
| url | http://dx.doi.org/10.1155/2014/263042 |
| work_keys_str_mv | AT hongyuli existenceofnontrivialsolutionsforunilaterallyasymptoticallylinearthreepointboundaryvalueproblems |