二阶奇异非线性边值条件的上下解方法

郭彦平;葛渭高;朱玉峻

数学学报 ›› 2003, Vol. 46 ›› Issue (5) : 1007-101.

数学学报 ›› 2003, Vol. 46 ›› Issue (5) : 1007-101. DOI: 10.12386/A2003sxxb0134
论文

二阶奇异非线性边值条件的上下解方法

    郭彦平;葛渭高;朱玉峻
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An Upper and Lower Solution Approach to Singular Second Order Ordinary Differential Equations with Nonlinear Boundary Conditions

    Yan Ping GUO(1),Wei Gao GE(2),
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摘要

本文利用上下解方法,讨论奇性边值问题(py’)’+ p(t)q(t)f(t,y,py’)=0,0

Abstract

Using an upper and lower approach, this paper establishes the existence of positive solutions for singular second order boundary value problems of the form (py'Y + p(t)q(t)f(t,y,py') = 0,0 < t < 1, where f(t,y,z) is singular at y = 0 and z = 0.

关键词

奇性边值问题 / Schauder不动点定理 / 上下解方法 / 非线性边值条件

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郭彦平;葛渭高;朱玉峻. 二阶奇异非线性边值条件的上下解方法. 数学学报, 2003, 46(5): 1007-101 https://doi.org/10.12386/A2003sxxb0134
Yan Ping GUO(1),Wei Gao GE(2),. An Upper and Lower Solution Approach to Singular Second Order Ordinary Differential Equations with Nonlinear Boundary Conditions. Acta Mathematica Sinica, Chinese Series, 2003, 46(5): 1007-101 https://doi.org/10.12386/A2003sxxb0134

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