Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces
Using a specially constructed cone and the fixed point index theory, this work shows existence and nonexistence results of positive solutions for fourth-order boundary value problem with two different parameters in Banach spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/831730 |
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| _version_ | 1832559845544296448 |
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| author | Jingjing Cai Guilong Liu |
| author_facet | Jingjing Cai Guilong Liu |
| author_sort | Jingjing Cai |
| collection | DOAJ |
| description | Using a specially constructed cone and the fixed point index theory, this work shows existence and
nonexistence results of positive solutions for fourth-order boundary value problem with two different parameters in Banach spaces. |
| format | Article |
| id | doaj-art-960da6d58c4849dcab1fdc535a65511f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-960da6d58c4849dcab1fdc535a65511f2025-02-03T01:29:05ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/831730831730Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach SpacesJingjing Cai0Guilong Liu1Department of Mathematics, Tongji University, Shanghai 200092, ChinaCollege of Electrical Engineering, Xinjiang University, Urumqi 830008, ChinaUsing a specially constructed cone and the fixed point index theory, this work shows existence and nonexistence results of positive solutions for fourth-order boundary value problem with two different parameters in Banach spaces.http://dx.doi.org/10.1155/2011/831730 |
| spellingShingle | Jingjing Cai Guilong Liu Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces Abstract and Applied Analysis |
| title | Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces |
| title_full | Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces |
| title_fullStr | Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces |
| title_full_unstemmed | Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces |
| title_short | Positive Solutions for a Class of Fourth-Order Boundary Value Problems in Banach Spaces |
| title_sort | positive solutions for a class of fourth order boundary value problems in banach spaces |
| url | http://dx.doi.org/10.1155/2011/831730 |
| work_keys_str_mv | AT jingjingcai positivesolutionsforaclassoffourthorderboundaryvalueproblemsinbanachspaces AT guilongliu positivesolutionsforaclassoffourthorderboundaryvalueproblemsinbanachspaces |