| 一类二阶三点边值问题的多重对称解 |
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| 引用本文： | 宋姝.一类二阶三点边值问题的多重对称解[J].太原师范学院学报(自然科学版),2008,7(4):8-11. |
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| 作者姓名： | 宋姝 |
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| 作者单位： | 山西工程职业技术学院基础部,山西太原,030009 |
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| 摘 要： | 文章讨论了边值问题：{-u″=w（t）f（t,u（t））,u（0）=u（1）,u′（0）-u′（1）=u（1/2）,}当w（t）,f（t,u）满足适当的条件时，根据推广的Leggett-Williams三解定理，得到了这类边值问题三解存在的充分条件，改进了相关文献的结论．
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| 关 键 词： | 锥 三解定理 对称正解 |
The Multiple Symmetric Solutions to Second Order Three Point Boundary Value Problems |
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| Song Shu.The Multiple Symmetric Solutions to Second Order Three Point Boundary Value Problems[J].Journal of Taiyuan Normal University:Natural Science Edition,2008,7(4):8-11. |
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| Authors: | Song Shu |
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| Institution: | Song Shu (Department of Basic Science,Shanxi Engineering Professional Technologh College,Taiyuan 030009,China) |
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| Abstract: | The existence of triple positive solutions of the second order three-point boundary value problem {-u″=w（t）f（t,u（t））,u（0）=u（1）,u′（0）-u′（1）=u（1/2）,} is discussed. We give theexsistence of triple symmetric positive solutions by applying the generalization of Leggett- Williams three-solutions. The results of the literature are developed and extended. |
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| Keywords: | cone three-solutions symmetric positive solution |
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