| 一类非线性三阶三点边值问题的可解性 |
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| 引用本文： | 许也平.一类非线性三阶三点边值问题的可解性[J].浙江师范大学学报(自然科学版),2010,33(1):22-26. |
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| 作者姓名： | 许也平 |
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| 作者单位： | 杭州广播电视大学,浙江,杭州,310012 |
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| 基金项目： | 浙江省教育厅科研项目 |
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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三点边值问题的可解性,在非线性项f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 |
Solvability of a third-order three-point boundary value problem |
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| XU Yeping.Solvability of a third-order three-point boundary value problem[J].Journal of Zhejiang Normal University Natural Sciences,2010,33(1):22-26. |
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| Authors: | XU Yeping |
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| Institution: | XU Yeping(Hangzhou Radio , TV University,Hangzhou Zhejiang 310012,China) |
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| Abstract: | The solvability was considered for a class of third-order three-point boundary value problem with first and second derivatives.With the 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 established. |
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| Keywords: | third-order three-point boundary value problem solutions existence Leray-Schauder nonlinear alternative |
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