| 非线性三阶两点边值问题的可解性 |
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| 引用本文： | 方雅敏,李淑红.非线性三阶两点边值问题的可解性[J].浙江师范大学学报(自然科学版),2008,31(3):280-282. |
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| 作者姓名： | 方雅敏 李淑红 |
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| 作者单位： | 丽水学院数理学院,浙江,丽水,323000 |
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| 摘 要： | 讨论了一类非线性项含一阶和二阶导数的三阶两点边值问题的可解性。在非线性项，满足线性增长的限制条件下，通过构造适当的Banach空间并利用Leray—Schauder非线性抉择，证明了一个存在性定理。
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| 关 键 词： | 三阶两点边值问题 解 存在性 Leray—Schauder非线性抉择 |
Solvability of third-order tow-point boundary value problems |
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| FANG Yamin,LI Shuhong.Solvability of third-order tow-point boundary value problems[J].Journal of Zhejiang Normal University Natural Sciences,2008,31(3):280-282. |
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| Authors: | FANG Yamin LI Shuhong |
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| Institution: | ( Department of Mathematics, Lishui University, Lishui Zhejiang 323000, China) |
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| Abstract: | The solvability was considered for a class of third-order two-point boundary value problem with first and second derivatives. When nonlinear term f satisfied a restriction of linear growth, by constructing a suitable Banach space and applying the Leray-Schauder nonlinear alternative, an existence theorem was proved. |
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| Keywords: | third-order two-point boundary value problem solutions existence Leray-Schauder nonlinearalternative |
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