| 一类二阶三点边值问题的可解性 |
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| 引用本文： | 关洪岩.一类二阶三点边值问题的可解性[J].沈阳师范大学学报(自然科学版),2007,25(4):432-435. |
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| 作者姓名： | 关洪岩 |
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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： | 研究了一类二阶三点边值问题的可解性.首先将边值问题转化为相应的算子方程,再利用锥上的不动点定理得出算子方程的不动点的存在性,从而得到边值问题的可解的充分条件.
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| 关 键 词： | 二阶 三点边值 锥 |
| 文章编号： | 1673-5862（2007）04-0432-04 |
| 修稿时间： | 2007-04-10 |
Solvability for a Class of Second-order Three-point Boundary Value Problem |
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| GUAN Hong-yan.Solvability for a Class of Second-order Three-point Boundary Value Problem[J].Journal of Shenyang Normal University: Nat Sci Ed,2007,25(4):432-435. |
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| Authors: | GUAN Hong-yan |
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| Institution: | College of Mathematics and Systems Science, Shenyang Normal University, Shenyang 110034, China |
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| Abstract: | The solvability for a class of second-order three-point boundary value problem is studied.After changing the boundary value problems to equivalent operator equations,the existence of the fixed point for the operator equations is obtained by using fixed point theorem in cones.Thus,the sufficient conditions of the solvability for the second-order three-point boundary value problem is presented. |
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| Keywords: | second-order three-point boundary value cone |
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