Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter
<p/> <p>By using the Krasnoselskii's fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter <inline-formula> <graphic file="1687-1812-2011-604046-i1.gif"/&...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/604046 |
| _version_ | 1818581571597238272 |
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| author | Han Xiaoling Gao Hongliang Xu Jia |
| author_facet | Han Xiaoling Gao Hongliang Xu Jia |
| author_sort | Han Xiaoling |
| collection | DOAJ |
| description | <p/> <p>By using the Krasnoselskii's fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter <inline-formula> <graphic file="1687-1812-2011-604046-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i4.gif"/></inline-formula> is considered, where <inline-formula> <graphic file="1687-1812-2011-604046-i5.gif"/></inline-formula> is a parameter, and <inline-formula> <graphic file="1687-1812-2011-604046-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i7.gif"/></inline-formula>.</p> |
| first_indexed | 2024-12-16T07:35:37Z |
| format | Article |
| id | doaj.art-7a1695d100ec4005b3250876309f3b30 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-16T07:35:37Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-7a1695d100ec4005b3250876309f3b302022-12-21T22:39:13ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-0120111604046Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable ParameterHan XiaolingGao HongliangXu Jia<p/> <p>By using the Krasnoselskii's fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter <inline-formula> <graphic file="1687-1812-2011-604046-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i3.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i4.gif"/></inline-formula> is considered, where <inline-formula> <graphic file="1687-1812-2011-604046-i5.gif"/></inline-formula> is a parameter, and <inline-formula> <graphic file="1687-1812-2011-604046-i6.gif"/></inline-formula>, <inline-formula> <graphic file="1687-1812-2011-604046-i7.gif"/></inline-formula>.</p>http://www.fixedpointtheoryandapplications.com/content/2011/604046 |
| spellingShingle | Han Xiaoling Gao Hongliang Xu Jia Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter Fixed Point Theory and Applications |
| title | Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter |
| title_full | Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter |
| title_fullStr | Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter |
| title_full_unstemmed | Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter |
| title_short | Existence of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter |
| title_sort | existence of positive solutions for nonlocal fourth order boundary value problem with variable parameter |
| url | http://www.fixedpointtheoryandapplications.com/content/2011/604046 |
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