| 一类线性边值问题正解的存在性 |
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| 引用本文： | 赵建清,葛仁福,朱海燕,王平. 一类线性边值问题正解的存在性[J]. 淮阴师范学院学报(自然科学版), 2010, 9(5) |
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| 作者姓名： | 赵建清 葛仁福 朱海燕 王平 |
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| 作者单位： | 连云港师范高等专科学校,数学系,江苏,连云港,222006;连云港师范高等专科学校,数学系,江苏,连云港,222006;连云港师范高等专科学校,数学系,江苏,连云港,222006;连云港师范高等专科学校,数学系,江苏,连云港,222006 |
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| 摘 要： | 应用不动点指数定理,研究了一类带有线性边值条件的拟线性微分方程(φ(x′))′+a(t)f(x(t))=0,t∈(0,1),x(0)-βx′(0)=0,x(1)+δx′(1)=0,正解的存在性.
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| 关 键 词： | 拟线性微分方程 线性边值条件 不动点指数定理 正解 存在性 |
Existence of Solutions for A Class of Quasilinear Ordinary Differential Equations |
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| ZHAO Jian-qing,GE Ren-fu,ZHU Hai-yan,WANG ping. Existence of Solutions for A Class of Quasilinear Ordinary Differential Equations[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2010, 9(5) |
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| Authors: | ZHAO Jian-qing GE Ren-fu ZHU Hai-yan WANG ping |
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| Abstract: | In this paper,we study the existence of positive solutions of quasilinear differential equation(φ(x′))′+a(t)f(x(t))=0,t∈(0,1),x(0)-βx′(0)=0,x(1)+δx′(1)=0,subject to linear boundary value conditions by a simple application of a fixed point index theorem in cones. |
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| Keywords: | quasilinear differential equations linear boundary value conditions fixed point index theorem positive solutions existence |
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