Spectral Analysis for a Singular Differential System with Integral Boundary Conditions

被引：0
|
作者：
Fenglong Sun
Lishan Liu
Xinguang Zhang
Yonghong Wu
机构：
[1] Qufu Normal University,School of Mathematical Sciences
[2] Curtin University,Department of Mathematics and Statistics
[3] Yantai University,Department of Mathematics and Informational Science
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
34B16; 34B18; 34B40; Multiple positive solutions; singular differential system; spectral analysis; fixed-point index; cone;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, by constructing a cone K1 × K2 in the Cartesian product space C[0, 1] × C[0, 1], and using spectral analysis of the relevant linear operator for the corresponding differential system, some properties of the first eigenvalue corresponding to the relevant linear operator are obtained, and the fixed-point index of nonlinear operator in the K1 × K2 is calculated explicitly and the existence of at least one positive solution or two positive solutions of the singular differential system with integral boundary conditions is established.
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页码：4763 / 4782
页数：19
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