| 一类共振条件下三阶多点边值问题解的存在性 |
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| 引用本文： | 王刚,朱思念,郑婷. 一类共振条件下三阶多点边值问题解的存在性[J]. 黑龙江科技学院学报, 2011, 21(1): 81-84 |
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| 作者姓名： | 王刚 朱思念 郑婷 |
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| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
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| 摘 要： | 利用Mawhin的连续性定理及迭合度理论研究多点边值问题,讨论三阶非线性微分方程多点边值问题共振时解的存在性,获得解存在的充分条件,推广了现有的结果。
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| 关 键 词： | 非线性微分方程 多点边值问题 迭合度 |
Existence of solutions for third-order multi-point boundary value problems at resonance |
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| WANG Gang,ZHU Sinian,ZHENG Ting. Existence of solutions for third-order multi-point boundary value problems at resonance[J]. Journal of Heilongjiang Institute of Science and Technology, 2011, 21(1): 81-84 |
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| Authors: | WANG Gang ZHU Sinian ZHENG Ting |
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| Affiliation: | (College of Sciences,China University of Mining & Technology,Xuzhou 221008,China) |
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| Abstract: | This paper discusses the existence of solutions of multi-point boundary value problems for third-order nonlinear differetial equation at resonance by using Mawhin＇s continuous theorem and coincidence degree theory and features the sufficient conditions for the boundary value problems,generalizing known results. |
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| Keywords: | nonlinear differential equation multi-point boundary value problem coincidence degree |
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