Eigenvalue Approach to Even Order System Periodic Boundary Value Problems

被引：2

作者：

Kong, Qingkai ^{[1
]}

Wang, Min ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2013年 / 56卷 / 01期

关键词：

Green's function; high order system boundary value problems; positive solutions; Sturm-Liouville problem; 2ND-ORDER DIFFERENTIAL-EQUATIONS; MULTIPLE POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.4153/CMB-2011-138-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an even order system boundary value problem with periodic boundary conditions. By establishing the existence of a positive eigenvalue of an associated linear system Sturm-Liouville problem, we obtain new conditions for the boundary value problem to have a positive solution. Our major tools are the Krein-Rutman theorem for linear spectra and the fixed point index theory for compact operators.

引用

页码：102 / 115

页数：14

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