Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales
We consider a high-order three-point boundary value problem. Firstly, some new existence results of at least one positive solution for a noneigenvalue problem and an eigenvalue problem are established. Our approach is based on the application of three different fixed point theorems, which have exten...
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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/10.1155/2013/314382 |
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| _version_ | 1850169293874921472 |
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| author | Yanbin Sang |
| author_facet | Yanbin Sang |
| author_sort | Yanbin Sang |
| collection | DOAJ |
| description | We consider a high-order three-point boundary value problem. Firstly, some new existence results of at least one positive solution for a noneigenvalue problem and an eigenvalue problem are established. Our approach is based on the application of three different fixed point theorems, which have extended and improved the famous Guo-Krasnosel’skii fixed point theorem at different aspects. Secondly, some examples are included to illustrate our results. |
| format | Article |
| id | doaj-art-a8035d0d5ec04ebb98e2d70204bdbefb |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a8035d0d5ec04ebb98e2d70204bdbefb2025-08-20T02:20:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/314382314382Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time ScalesYanbin Sang0Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, ChinaWe consider a high-order three-point boundary value problem. Firstly, some new existence results of at least one positive solution for a noneigenvalue problem and an eigenvalue problem are established. Our approach is based on the application of three different fixed point theorems, which have extended and improved the famous Guo-Krasnosel’skii fixed point theorem at different aspects. Secondly, some examples are included to illustrate our results.http://dx.doi.org/10.1155/2013/314382 |
| spellingShingle | Yanbin Sang Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales Abstract and Applied Analysis |
| title | Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales |
| title_full | Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales |
| title_fullStr | Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales |
| title_full_unstemmed | Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales |
| title_short | Some New Existence Results of Positive Solutions to an Even-Order Boundary Value Problem on Time Scales |
| title_sort | some new existence results of positive solutions to an even order boundary value problem on time scales |
| url | http://dx.doi.org/10.1155/2013/314382 |
| work_keys_str_mv | AT yanbinsang somenewexistenceresultsofpositivesolutionstoanevenorderboundaryvalueproblemontimescales |