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| 非齐次微分方程两点边值问题正解的存在性及多重性 | |
| 引用本文： | 罗黎平,顾永耕,戴求亿. 非齐次微分方程两点边值问题正解的存在性及多重性[J]. 数学学报, 2006, 49(3): 583-594. DOI: cnki:ISSN:0583-1431.0.2006-03-013 |
| 作者姓名： | 罗黎平 顾永耕 戴求亿 |
| 作者单位： | 湖南师范大学数学与计算机科学学院,长沙410081 |
| 基金项目： | 国家自然科学基金资助项目（10171029） |
| 摘 要： | 本文考虑一类非齐次微分方程的两点边值问题,得到了一些有关其正解存在性与多重性的精确条件． |
| 关 键 词： | 正解 两点边值问题 存在性 多重性 |
| 文章编号： | 0583-1431（2006）03-0583-12 |
| 收稿时间： | 2004-04-13 |
| 修稿时间： | 2004-04-132005-03-22 |
Existence and Multiplicity of Positive Solutions for Two-point Boundary Value Problem of Nonhomogeneous Differential Equations |
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| Li Ping LUO Yong Geng GU Qiu Yi DAI. Existence and Multiplicity of Positive Solutions for Two-point Boundary Value Problem of Nonhomogeneous Differential Equations[J]. Acta Mathematica Sinica, 2006, 49(3): 583-594. DOI: cnki:ISSN:0583-1431.0.2006-03-013 | |
| Authors: | Li Ping LUO Yong Geng GU Qiu Yi DAI |
| Affiliation: | College of Mathematics and Computer Science, Hunan Normal University Changsha 410081, P. R. China |
| Abstract: | A class of two-point boundary value problems of nonhomogeneous differential equations are investigated in this paper. Some exact conditions for the existence or multiplicity of positive solutions for the problem are given. |
| Keywords: | positive solution two-point boundary value problem existence multiplicity |
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