Solvability of a Class of N-th Order Linear Focal Problems

被引：4

作者：

Almenar, Pedro ^{[1
]}

Jodar, Lucas ^{[2
]}

机构：

[1] Vodafone Spain, Avda Amer 115, Madrid 28042, Spain

[2] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Camino Vera S-N, E-46022 Valencia, Spain

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2017年 / 22卷 / 04期

关键词：

disfocality; n-th order linear boundary value problem; Green function; cone theory; Lyapunov inequality; POSITIVE SOLUTIONS; POINTS;

D O I：

10.3846/13926292.2017.1329757

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, in the form of integral inequalities. Some results on the sign of the derivatives of the Green functions of n-th order linear focal boundary value problems will also be provided.

引用

页码：528 / 547

页数：20

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