| 一类二阶m点边值问题的可解性 |
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| 引用本文： | 关洪岩,郝妍.一类二阶m点边值问题的可解性[J].长春师范学院学报,2008,27(1):5-7. |
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| 作者姓名： | 关洪岩 郝妍 |
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| 作者单位： | 沈阳师范大学数学与系统科学学院,辽宁沈阳110034 |
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| 摘 要： | 通过微分方程的相关理论,将二阶m点边值问题转化为相应的算子方程问题,再利用锥上的Kransnosel'skii不动点定理得到算子方程的不动点,从而得到二阶m点边值问题可解的充分条件.
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| 关 键 词： | 二阶 m点边值 锥 |
| 文章编号： | 1008-178X（2008）01-0005-03 |
| 收稿时间： | 2007-08-07 |
| 修稿时间： | 2007年8月7日 |
Solvability for a Class of Second-order m-point Boundary Value Problem |
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| GUAN Hong-yan,HAO Yan.Solvability for a Class of Second-order m-point Boundary Value Problem[J].Journal of Changchun Teachers College,2008,27(1):5-7. |
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| Authors: | GUAN Hong-yan HAO Yan |
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| Abstract: | Using the theory of differential equation, turn the boundary value problems into equivalent operator equations. After that, the existence of the fixed point for the operator equations is studied using fixed point theorem in cones. Meanwhile, the sufficient conditions of the solvability for the class of second - order - point boundary value problem is presented. |
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| Keywords: | second - order m - point boundary value cone |
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