| 三阶奇异常微分方程超定边值问题 |
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| 引用本文： | 李兆兴,郭爽,刘国清,赵微.三阶奇异常微分方程超定边值问题[J].东北师大学报(自然科学版),2011,43(3):19-22. |
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| 作者姓名： | 李兆兴 郭爽 刘国清 赵微 |
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| 作者单位： | 大庆师范学院数学科学学院,黑龙江大庆,163712 |
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| 基金项目： | 黑龙江省自然科学基金资助项目(A200813) |
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| 摘 要： | 研究了三阶奇异常微分方程超定边值问题解的存在性,通过将边值问题转化为与它等价的初值问题,应用不动点定理得到了解的存在性,推广和改进了已有的结果,并给出一个显解.
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| 关 键 词： | 微分方程 奇异 超定边值问题 |
Overdetermined boundary value problems for third-order singular ordinary differential equations on(0, ∞) |
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| LI Zhao-xing,Guo Shuang,LIU Guo-qing,ZHAO Wei.Overdetermined boundary value problems for third-order singular ordinary differential equations on(0, ∞)[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(3):19-22. |
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| Authors: | LI Zhao-xing Guo Shuang LIU Guo-qing ZHAO Wei |
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| Institution: | LI Zhao-xing,Guo Shuang,LIU Guo-qing,ZHAO Wei(College of Mathematics,Daqing Normal University,Daqing 163712,China) |
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| Abstract: | The existence of a solution is discussed in this paper third-th order singular nonlinear ordinary differential equation with overdetermined boundary conditions.In the way that the boundary problem is formally converted into initial value problem that is equivaleut to it,and the fixed point theorem is used,the problem is solved. |
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| Keywords: | differential equation singular overdetermined boundary value problems |
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