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| 二阶奇异非线性边值条件的上下解方法 | |
| 引用本文： | 郭彦平,葛渭高,朱玉峻.二阶奇异非线性边值条件的上下解方法[J].数学学报,2003,46(5):1007-101. |
| 作者姓名： | 郭彦平 葛渭高 朱玉峻 |
| 作者单位： | 1. 北京理工大学应用数学系,北京,100081;河北科技大学理学院,石家庄,050018 2. 北京理工大学应用数学系,北京,100081 3. 河北师范大学数学与信息科学学院,石家庄,050016 |
| 基金项目： | 国家自然科学基金(19871005)，河北自然科学基金(603384)，博士基金(B2002108) |
| 摘 要： | 本文利用上下解方法,讨论奇性边值问题(py’)’+ p(t)q(t)f(t,y,py’)=0,0 |
| 关 键 词： | 奇性边值问题 非线性边值条件 Schauder不动点定理 上下解方法 |
| 文章编号： | 0583-1431(2003)05-1007-10 |
| 修稿时间： | 2001年6月18日 |
An Upper and Lower Solution Approach to Singular Second Order Ordinary Differential Equations with Nonlinear Boundary Conditions |
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| Yan Ping GUO.An Upper and Lower Solution Approach to Singular Second Order Ordinary Differential Equations with Nonlinear Boundary Conditions[J].Acta Mathematica Sinica,2003,46(5):1007-101. | |
| Authors: | Yan Ping GUO |
| Institution: | Yan Ping GUO (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China) (College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, P. R. China) Wei Gao GE (Department of Applied Mathematics, Beijing Institute of Technology University, Beijing 100081, P. R. China) Yu Jun ZHU (College of Mathematics and Information Sicence, Hebei Teacher's University, Shijiangzhuang 050016, P. R. China) |
| Abstract: | Using an upper and lower approach, this paper establishes the existence of positive solutions for singular second order boundary value problems of the form (py'Y + p(t)q(t)f(t,y,py') = 0,0 < t < 1, where f(t,y,z) is singular at y = 0 and z = 0. |
| Keywords: | Singular boundary value problem Nonlinear boundary condition Schauder fixed point theorem An upper and lower approach |
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