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
收藏
页码：102 / 115
页数：14
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