| 一类高阶多维核共振条件下多点边值问题的可解性 |
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| 引用本文： | 刘广军,任立顺.一类高阶多维核共振条件下多点边值问题的可解性[J].郑州大学学报(自然科学版),2013(4):19-22. |
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| 作者姓名： | 刘广军 任立顺 |
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| 作者单位： | 周口师范学院数学与统计学院,河南周口466001 |
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| 基金项目： | 河南省教育厅自然科学基金资助项目,编号2010A110023. |
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| 摘 要： | 研究了一类n阶非线性微分方程多点边值问题在m维核共振条件下解的存在性问题．主要利用Mawhin的重合度理论，在一定的条件下证明了该问题至少一个非平凡解的存在性．
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| 关 键 词： | 多点边值问题 共振 重合度理论 存在性定理 |
Solvability of High-order Multi-point Boundary Value Problems with Multi-dimensional Kernel at Resonance |
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| LIU Guang-jun,REN Li-shun.Solvability of High-order Multi-point Boundary Value Problems with Multi-dimensional Kernel at Resonance[J].Journal of Zhengzhou University (Natural Science),2013(4):19-22. |
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| Authors: | LIU Guang-jun REN Li-shun |
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| Institution: | (School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China) |
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| Abstract: | By using Mawhin＇ s coincidence degree theory, the existence of at least one solution of n-th order multi-point boundary value problems with m-dimensional Kernel at resonance was studied. An exam- ple was given to illustrate validity of the main result. |
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| Keywords: | multi-point boundary value problem resonance coincidence degree theory existence theorem |
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