| 二阶奇异泛函微分方程的两点边值问题 |
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| 引用本文： | 盖明久,时宝,张德存.二阶奇异泛函微分方程的两点边值问题[J].数学年刊A辑(中文版),2001(6). |
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| 作者姓名： | 盖明久 时宝 张德存 |
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| 作者单位： | 海军航空工程学院基础部，海军航空工程学院基础部，海军航空工程学院基础部 山东 烟台264001，山东 烟台264001，山东 烟台264001 |
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| 基金项目： | 海军航空工程学院专业技术拔尖人才基金，国家自然科学基金（No．69974032）资助的项目． |
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| 摘 要： | 本文研究具有Ｒｏｂｉｎ边界条件的二阶奇异泛函微分方程组Ａ（ｔ，ｘ，ｘ）ｘ＝ｆ（ｔ，ｘｔ，ｘｔ）的两点边值问题，给出该两点边值问题的两个解的先验估计定理和一个解的存在定理．
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| 关 键 词： | 泛函微分方程 奇异性 边值问题 |
TWO POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| GAI Mingjiu,SHI Bao,ZHANG Decun.TWO POINT BOUNDARY VALUE PROBLEM OF SECOND ORDER SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics,2001(6). |
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| Authors: | GAI Mingjiu SHI Bao ZHANG Decun |
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| Institution: | GAI Mingjiu,SHI Bao,ZHANG Decun Department of Basic Sciences,Naval Aeronautical Engineering Institute,Yantai 264001,China. |
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| Abstract: | The authors study the singular boundary value problem for second order functional differential equations A(t, x, x)x = f (t, xt, xt). Two a priori bounds theorems for solutions and their derivatives and an existence theorem for solutions are obtained. |
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| Keywords: | Functional differential equations Singularity Boundary value problem |
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