二阶共振周期边值问题多解的存在性  

Multiple Solutions of Periodic Boundary Value Problems for Second Order Resonance Differential Equations

作　　者：杨爱军[1] 纪德红[1,2] 葛渭高[1] 

机构地区：[1]北京理工大学理学院数学系,北京100081 [2]天津理工大学理学院数学系,天津300384

出　　处：《数学的实践与认识》2008年第24期240-245,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671012)

摘　　要：借助于与给定共振的非线性周期边值问题相关的非共振的线性边值问题来构造算子,利用范数形式的锥拉伸-压缩不动点定理,得到了非线性周期边值问题非负解的存在性定理.The existence of multiple nonnegative solutions for periodic boundary value problems is studied by constructing the function for the concerning nonresonance linear PBVP. By applying the Sehauder＇s fixed point theorem and cone expansion-compression type Krasnolselslii＇s fixed point theorem, the sufficient condition is established.

关 键 词：周期边值问题 不动点定理 锥 

分 类 号：O175.8[理学—数学] O175.15[理学—基础数学]