非线性Sturm-Liouville边值问题的多重非负解  

Multiple Nongenative Solutions for Nonlinear Sturm-Liouville Boundary Value Problems

作　　者：蒋开育[1] 赵增勤[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165

出　　处：《应用泛函分析学报》2008年第2期162-169,共8页Acta Analysis Functionalis Applicata

基　　金：山东省自然科学基金(Y2006A04)

摘　　要：利用上下解方法,锥理论,Schauder不动点定理,Amann不动点定理以及映射度理论研究Sturm-Liouville边值问题(SL.ρ),在某些特定条件下,得到了有多重非负解的存在性结论.In this paper, we make use of the method of upper and lower solutions, cone theory, the Schauder-fixed point theorem, Amann theorem and mapping degree theory to study the Sturm- Liouville boundary value problems, and obtain existence conclutions which have multiple nongenative solutions under some certain conditions. In some degree, the results obtained are the generations and improvements of recent corresponding results.

关 键 词：Sturm—Liouville边值问题 正规体锥 上下解方法 不动点 映射度 

分 类 号：O175.8[理学—数学]