| 一类奇异半正三阶两点边值问题的正解 |
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| 引用本文： | 姚庆六.一类奇异半正三阶两点边值问题的正解[J].东北师大学报(自然科学版),2011,43(3):23-27. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,江苏南京,210003 |
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| 基金项目： | 国家自然科学基金资助项目(11071109) |
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| 摘 要： | 研究了一类奇异三阶两点边值问题的正解存在性,其中非线性项可以在t=0,t=1处奇异,并且有一个函数型下界.通过考察非线性项在无穷远处的极限增长函数的积分,并且利用锥上的Krasnosel'skii不动点定理证明了一个新的存在定理.
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| 关 键 词： | 非线性常微分方程 边值问题 正解 不动点定理 |
Positive solution to a class of singular semipositone third-order two-point boundary value problems |
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| YAO Qing-liu.Positive solution to a class of singular semipositone third-order two-point boundary value problems[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(3):23-27. |
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| Authors: | YAO Qing-liu |
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| Institution: | YAO Qing-liu(Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,China) |
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| Abstract: | The existence of positive solution is studied for a singular third-order two-point boundary value problem,where the nonlinear term may be singular at t=0,t=1 and has a lower bound of function type.By considering integration of the limit growth function of nonlinear term at infinity and applying the Krasnosel'skii fixed point theorem on cone,a new existence theorem is proved. |
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| Keywords: | nonlinear ordinary differential equation boundary value problem positive solution fixed point theorem |
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