| 二阶微分方程积分边值问题正解的存在性 |
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| 引用本文： | 肖羽,刘锡平,陈建名.二阶微分方程积分边值问题正解的存在性[J].吉林大学学报(理学版),2010,48(4):533-538. |
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| 作者姓名： | 肖羽 刘锡平 陈建名 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 上海市教委科研创新项目基金 |
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| 摘 要： | 研究一类具有积分边界条件的二阶非线性常微分方程非局部边值问题多个正解的存在性.利用双锥上不动点定理,在允许非线性项变号的情况下,得到了边值问题至少存在两个正解的充分条件.
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| 关 键 词： | 积分边值问题 双锥上不动点定理 正解 存在性 |
| 收稿时间： | 2009-11-03 |
Existence of Positive Solutions for Integral Boundary Value Problems of Second Order Differential Equations |
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| XIAO Yu,LIU Xi-ping,CHEN Jian-ming.Existence of Positive Solutions for Integral Boundary Value Problems of Second Order Differential Equations[J].Journal of Jilin University: Sci Ed,2010,48(4):533-538. |
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| Authors: | XIAO Yu LIU Xi-ping CHEN Jian-ming |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | We studied the existence of multiple positive solutionsfor the nonlocal boundary value problems of a type of nonlinear second order differential equations with integral boundary conditions. By means of fixed pointtheorem in double cones, the existence of, at least, two positive solutions to the boundary value problem is obtained under the condition of non linear term to be allowed to change sign. |
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| Keywords: | integral boundary value problem a fixed point theorem in double cones positive solutions existence |
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