| 非线性二阶常微分方程组边值问题的正解 |
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| 引用本文： | 杨志林,孙经先.非线性二阶常微分方程组边值问题的正解[J].数学学报,2004,47(1):111-118. |
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| 作者姓名： | 杨志林 孙经先 |
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| 作者单位： | 1. 青岛建筑工程学院数理与信息工程系青岛,266033
2. 徐州师范大学数学系徐州221116 |
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| 基金项目： | 国家自然科学基金资助项目(10071042)，山东省自然科学基金资助项目(Z2000A02) |
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| 摘 要： | 本文利用拓扑方法研究了下列非线性二阶常微分方程组边值问题在某些条件下,我们证明了上述边值问题正解的存在性和个数.
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| 关 键 词： | 常微分方程组 边值问题 锥 |
| 文章编号： | 0583-1431(2004)01-0111-08 |
Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second Order Ordinary Differential Equations |
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| Zhi Lin YANG.Positive Solutions of Boundary Value Problems for Systems of Nonlinear Second Order Ordinary Differential Equations[J].Acta Mathematica Sinica,2004,47(1):111-118. |
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| Authors: | Zhi Lin YANG |
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| Institution: | Zhi Lin YANG
(Department of Science and Information Engineering, Qingdao Institute of Architecture and Engineering, Qingdao 266033, P. R. China)
Jing Xian SUN (Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China) |
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| Abstract: | In this paper, we study by using a topological method the boundary value problem for systems of nonlinear second order ordinary differential equations of the
form We shall prove the existence and multiplicity of positive solutions of the above problem under some conditions. |
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| Keywords: | Systems of ordinary differential equations Boundary value problem Cone |
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