| 一类三阶非局部共振问题解的存在性 |
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| 引用本文： | 施恂栋,杨成,陈海量.一类三阶非局部共振问题解的存在性[J].黑龙江科技学院学报,2010,20(3):233-236. |
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| 作者姓名： | 施恂栋 杨成 陈海量 |
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| 作者单位： | 中国矿业大学理学院,江苏,徐州,221116 |
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| 摘 要： | 为了研究一类非线性三阶三点边值问题,利用Mawhin连续性定理,得到该问题解的存在性的充分条件,并应用Taylor定理对解进行先验估计。所用技术在一定程度上开拓了该类问题解的先验估计的思路。
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| 关 键 词： | 非线性微分方程 共振 迭合度 存在性 |
Existence of solution to problem on third order three-point resonance boundary value |
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| SHI Xundong,YANG Cheng,CHEN Hailiang.Existence of solution to problem on third order three-point resonance boundary value[J].Journal of Heilongjiang Institute of Science and Technology,2010,20(3):233-236. |
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| Authors: | SHI Xundong YANG Cheng CHEN Hailiang |
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| Institution: | (College of Sciences,China University of Mining ＆ Technology,Xuzhou 221116,China) |
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| Abstract: | In order to study a class of nonlinear third-order three-point boundary value problem,this paper introduces the sufficient conditions of the existence of solutions to the problem obtained by using the Mawhin coincidence degree theory and the first application of Taylor theorem to priori estimate of the solution.The proposed skill serves to enrich the priori estimate of the solution. |
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| Keywords: | nonlinear differential equation resonance coincidence degree existence |
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