Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations

被引：25

作者：

Sun, Jingxian ^{[1
]}

Liu, Xiaoying ^{[1
]}

机构：

[1] Xuzhou Normal Univ, Dept Math, Xuzhou 22116, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 348卷 / 02期

关键词：

cone; lattice; topological degree; superlinear Sturm-Liouville problems;

D O I：

10.1016/j.jmaa.2008.05.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, the existence results of nontrivial solutions for superlinear Sturm-Liouville problems are given. We also investigate the singular superlinear Sturm-Liouville problems. (C) 2008 Published by Elsevier Inc.

引用

页码：927 / 937

页数：11

共 11 条

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Sun, Jingxian
Liu, Xiaoying
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[9] Nontrivial solutions of singular superlinear Sturm-Liouville problems
Sun, JX
Zhang, GW
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