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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
关键词
周期边值问题
不动点定理
锥
periodic boundary value problem
fixed point theorem
cone
