| 非线性三阶三点边值问题解的存在性 |
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| 引用本文： | 雷文生,李淑红.非线性三阶三点边值问题解的存在性[J].丽水学院学报,2012,34(5):5-7. |
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| 作者姓名： | 雷文生 李淑红 |
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| 作者单位： | 丽水学院教育学院,浙江丽水,323000 |
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| 基金项目： | 浙江省自然科学基金资助项目(LY12A01012) |
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| 摘 要： | 利用Leray—Schauder非线性抉择讨论了一类非线性项含一阶和二阶导数的三阶三点边值问题解的存在性。在非线性项f满足线性增长的限制的条件下，通过构造适当的Banach空间并证明了一个解的存在定理。
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| 关 键 词： | 三阶三点边值问题 解 存在性 Leray—Schauder非线性抉择 |
The Existence of Solution for a Third-order Three-point Boundary Value Problem |
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| LEI Wensheng
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LI Shuhong.The Existence of Solution for a Third-order Three-point Boundary Value Problem[J].Journal of Lishui University,2012,34(5):5-7. |
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| Authors: | LEI Wensheng LI Shuhong |
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| Institution: | (School of Education,Lishui University,Lishui 323000,Zhejiang) |
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| Abstract: | The existence of solution is considered for a class of third-order three-point boundary value problem with first and second derivatives.The nonlinear term f satisfies a restriction of linear growth.By constructing a suitable Banach space and applying the Leray-Schauder nonlinear alternative,an existence theorem is proved. |
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| Keywords: | third-order three-point boundary value problem solution existence Leray-Schauder nonlinear alternative |
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