| 二阶常微分方程组积分边值问题的正解 |
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| 引用本文： | 叶盼盼,杨志林.二阶常微分方程组积分边值问题的正解[J].系统科学与数学,2011,31(8). |
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| 作者姓名： | 叶盼盼 杨志林 |
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| 作者单位： | 青岛理工大学理学院,青岛,266033 |
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| 基金项目： | 国家自然科学基金(10971179)资助课题 |
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| 摘 要： | 在借助于非负矩阵获得正解的先验估计的基础上,用不动点指数理论研究二阶非线性常微分方程组积分边值问题正解和多重正解的存在性.
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| 关 键 词： | 积分边值问题 常微分方程组 不动点指数 正解 |
POSITIVE SOLUTIONS FOR A SYSTEM OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS |
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| YE Panpan
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YANG Zhilin.POSITIVE SOLUTIONS FOR A SYSTEM OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS[J].Journal of Systems Science and Mathematical Sciences,2011,31(8). |
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| Authors: | YE Panpan YANG Zhilin |
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| Institution: | YE Panpan YANG Zhilin (Department of Mathematics,Qingdao Technological University,Qingdao 266033) |
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| Abstract: | Based on a priori estimates achieved by utilizing nonnegative matrices,and by using the fixed point index theory,the existence and multiplicity of positive solutions for a system of nonlinear second-order ordinary differential equations with integral boundary conditions are satisfied. |
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| Keywords: | Integral boundary value problem system of ordinary differential equations fixed point index positive solution |
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