| 奇异三阶微分方程边值问题的正解 |
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| 引用本文： | 赵微,高扬,李兆兴,唐莉,王冲. 奇异三阶微分方程边值问题的正解[J]. 数学的实践与认识, 2010, 40(11) |
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| 作者姓名： | 赵微 高扬 李兆兴 唐莉 王冲 |
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| 基金项目： | 黑龙江省自然科学基金，大庆师范学院科学研究基金，黑龙江省青年科学基金 |
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| 摘 要： | 讨论了奇异三阶微分方程边值问题的正解存在性.通过与一个线性算子相关的第一特征值的讨论,运用不动点指数定理,得到了正解存在的结果.其中允许h(t)在t=0和t=1处奇异.
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| 关 键 词： | 边值问题 正解 锥 不动点指数 奇异 |
Positive Solution of Singular Third Order Differential Equation Boundary Value Problem |
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| ZHAO Wei,GAO Yang,LI Zhao-xing,TANG Li,WANG Chong. Positive Solution of Singular Third Order Differential Equation Boundary Value Problem[J]. Mathematics in Practice and Theory, 2010, 40(11) |
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| Authors: | ZHAO Wei GAO Yang LI Zhao-xing TANG Li WANG Chong |
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| Abstract: | In this paper,the existence of positive solution for singular third order differential equation boundary value problem is considered.By the fixed-point index theorem on cone and the first eigenvalue criteria with spectral radius,we obtain the existence of positive solution,where h(t)is allowed to be singular at t=0 and t=1. |
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| Keywords: | boundary value problem positive solution cone fixed point index singular |
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