二阶两点边值问题单调正解的存在性

孙永平

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (2) : 145-156.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (2) : 145-156. DOI: 10.12341/jssms08928
论文

二阶两点边值问题单调正解的存在性

    孙永平
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Existence of Monotone Positive Solution for Second-Order Two-Point Boundary Value Problems

    SUN Yongping
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文章历史 +

摘要

考察了形如Misplaced &的二阶非线性微分方程两点边值问题,这里ξ, η∈(0,1)∪(1,∞) 为给定的常数, f:[0,1]×[0,∞)→[0,∞) 连续. 在某些适当的增长性条件下, 应用Avery-Anderson-Krueger 不动点定理证明了单调正解的存在性.

Abstract

In this paper, the following nonlinear second-order two-point boundary value problem is considered: Misplaced &
where ξ, η∈(0,1)∪(1,∞), f:[0,1]×[0,∞)→[0,∞) is continuous. Under some suitable growth conditions on f, the existence of monotne positive solutions for the problem is proved by applying a fixed point theorem due to Avery, Anderson and Krueger.

关键词

二阶两点边值问题 / 单调正解 / 存在性 / 不动点定理.

Key words

Second-order two-point BVPs / monotone positive solutions / existence / fixed point theorem.

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孙永平. 二阶两点边值问题单调正解的存在性. 系统科学与数学, 2010, 30(2): 145-156. https://doi.org/10.12341/jssms08928
SUN Yongping. Existence of Monotone Positive Solution for Second-Order Two-Point Boundary Value Problems. Journal of Systems Science and Mathematical Sciences, 2010, 30(2): 145-156 https://doi.org/10.12341/jssms08928
中图分类号： 34B10    34B15   
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