|
个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：西北师范大学
学位：博士
所在单位：数学科学学院
学科：应用数学. 基础数学
办公地点：B1409
联系方式：大连理工大学创新园大厦
电子邮箱：daiguowei@dlut.edu.cn
Positive solutions of sub-superlinear Sturm Liouville problems
点击次数：
论文类型：期刊论文
发表时间：2015-06-15
发表刊物：APPLIED MATHEMATICS AND COMPUTATION
收录刊物：SCIE、EI、Scopus
卷号：261
页面范围：351-359
ISSN号：0096-3003
关键字：Positive solution; Nonlinear eigenvalue problem; Strict lower and upper solutions; Leray-Schauder degree; Fixed point index
摘要：In this paper, we introduce the notion of a strict lower/upper solution to nonlinear Sturm-Liouville boundary value problems. Based on the maximum principles, we establish a result of Leray-Schauder degree on the ordered intervals induced by the pairs of strict lower and upper solutions. Applying the result and the fixed point index theory in cones, we obtain the global existence results of positive solutions for sub-superlinear Sturm-Liouville problems. (C) 2015 Elsevier Inc. All rights reserved.