Solutions to a Three-Point Boundary Value Problem
<p/> <p>By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem <inline-formula><graphic file="1687-1847-2011-894135-i1.gif"/></inline-formula>,&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/894135 |
| _version_ | 1818963357392175104 |
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| author | Lv Zhi-Wei Liang Jin |
| author_facet | Lv Zhi-Wei Liang Jin |
| author_sort | Lv Zhi-Wei |
| collection | DOAJ |
| description | <p/> <p>By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem <inline-formula><graphic file="1687-1847-2011-894135-i1.gif"/></inline-formula>,  <inline-formula><graphic file="1687-1847-2011-894135-i2.gif"/></inline-formula>; <inline-formula><graphic file="1687-1847-2011-894135-i3.gif"/></inline-formula>; <inline-formula><graphic file="1687-1847-2011-894135-i4.gif"/></inline-formula>, where <inline-formula><graphic file="1687-1847-2011-894135-i5.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-894135-i6.gif"/></inline-formula> are constants, <inline-formula><graphic file="1687-1847-2011-894135-i7.gif"/></inline-formula> is a parameter, and <inline-formula><graphic file="1687-1847-2011-894135-i8.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-894135-i9.gif"/></inline-formula> are given functions. New existence theorems are obtained, which extend and complement some existing results. Examples are also given to illustrate our results.</p> |
| first_indexed | 2024-12-20T12:43:56Z |
| format | Article |
| id | doaj.art-cab45fb73c8044d3a28cdc4ea69ce9c7 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T12:43:56Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-cab45fb73c8044d3a28cdc4ea69ce9c72022-12-21T19:40:22ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111894135Solutions to a Three-Point Boundary Value ProblemLv Zhi-WeiLiang Jin<p/> <p>By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem <inline-formula><graphic file="1687-1847-2011-894135-i1.gif"/></inline-formula>,  <inline-formula><graphic file="1687-1847-2011-894135-i2.gif"/></inline-formula>; <inline-formula><graphic file="1687-1847-2011-894135-i3.gif"/></inline-formula>; <inline-formula><graphic file="1687-1847-2011-894135-i4.gif"/></inline-formula>, where <inline-formula><graphic file="1687-1847-2011-894135-i5.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-894135-i6.gif"/></inline-formula> are constants, <inline-formula><graphic file="1687-1847-2011-894135-i7.gif"/></inline-formula> is a parameter, and <inline-formula><graphic file="1687-1847-2011-894135-i8.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-894135-i9.gif"/></inline-formula> are given functions. New existence theorems are obtained, which extend and complement some existing results. Examples are also given to illustrate our results.</p>http://www.advancesindifferenceequations.com/content/2011/894135 |
| spellingShingle | Lv Zhi-Wei Liang Jin Solutions to a Three-Point Boundary Value Problem Advances in Difference Equations |
| title | Solutions to a Three-Point Boundary Value Problem |
| title_full | Solutions to a Three-Point Boundary Value Problem |
| title_fullStr | Solutions to a Three-Point Boundary Value Problem |
| title_full_unstemmed | Solutions to a Three-Point Boundary Value Problem |
| title_short | Solutions to a Three-Point Boundary Value Problem |
| title_sort | solutions to a three point boundary value problem |
| url | http://www.advancesindifferenceequations.com/content/2011/894135 |
| work_keys_str_mv | AT lvzhiwei solutionstoathreepointboundaryvalueproblem AT liangjin solutionstoathreepointboundaryvalueproblem |