Existence and non-existence of positive solutions of four-point BVPs for ODEs on whole line

被引：1

作者：

Liu Y. ^{[1
]}

机构：

[1] Department of Mathematics, Guangdong University of Finance and Economics, Guangzhou

来源：

Journal of Applied Mathematics and Computing | 2016年 / 51卷 / 1-2期

关键词：

Fixed point theorem; Four-point boundary value problem; Positive solution; Second order singular differential equation on whole line;

D O I：

10.1007/s12190-015-0914-6

中图分类号：

学科分类号：

摘要：

This paper is concerned with four-point boundary value problem of second order singular differential equtions on whole line. Green’s function G(t, s) for problem (Formula presented) is obtained. We proved that G(t, s) ≥ 0 under some assumptions which actually generalize a corresponding result in Liu (Appl Math Comput 155(1):179-203, 2004) (see Remark 2.1). Sufficient conditions to guarantee the existence and non-existence of positive solutions are established. We give two examples and remarks to illustrate main theorems. © Korean Society for Computational and Applied Mathematics 2015.

引用

页码：425 / 452

页数：27

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