| 奇异二阶泛函微分方程边值问题的多重正解 |
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| 引用本文： | 翁佩萱,蒋达清.奇异二阶泛函微分方程边值问题的多重正解[J].应用数学学报,2000,23(1):99-107. |
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| 作者姓名： | 翁佩萱 蒋达清 |
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| 作者单位： | 1. 华南师范大学数学系,广州,510631
2. 东北师范大学数学系,长春,130024 |
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| 基金项目： | 国家自然科学基金和广东省基金资助项目． |
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| 摘 要： | 本文把ＺｈａｏｌｉＬｉｕ和Ｅｒｂｅ等人关于常微分方程边值问题多重正解的工作推广到二阶奇异混合型泛函微分方程边值问题，证明了所考虑的方程边值问题存在至少两个正解的充分条件。
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| 关 键 词： | 泛函微分方程 奇异性 混合型 边值问题 多重正解 |
MULTIPLE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM OF SECOND ORDER SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| WENG PEIXUAN,JIANG DAQING.MULTIPLE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM OF SECOND ORDER SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2000,23(1):99-107. |
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| Authors: | WENG PEIXUAN JIANG DAQING |
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| Institution: | WENG PEIXUAN
(Department of Mathematics, South China Normal University, Guangzhou 510631)
JIANG DAQING
(Northeast Normal University, Changchun 130024) |
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| Abstract: | We used the fixed point index theorem in a cone to investigate the existence of multiple positive solutions for boundary value problem of a second-order singular functional differential equation of mixed type. The results in this paper generalize the results for the boundary value problem of ordinary differential equations given by 1,2]. |
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| Keywords: | Functional differential equations singularity mixed type boundary value problem multiple positive solution |
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