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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.
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
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.
Authors:Li Ping LUO Yong Geng GU Qiu Yi DAI
Institution: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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