西北师范大学学报（自然科学版）Issue(6)：6-9,4.
2n阶常微分方程周期边值问题解的存在唯一性
Existence and uniqueness for periodic boundary value problems of 2nth-order ordinary differential equations
摘要
Abstract
This paper deals with the existence and uniqueness of solutions for 2nth‐order ordinary differential equation with periodic boundary value condition u(2n) (t)+ au(t) = f (t ,u(t) ,u′(t) ,… ,u(2n-1) (t)) , t ∈ I , u(i) (0) = u(i) (2π) , i = 0 ,1 ,… ,2n-1 . Where n≥1 is a integer , I= [0 ,2π] ,(-1)n a>0 ,f :I × R2n R is continuous and 2π‐peridoic with respect to t . By applying the Fourier analysis method and Leray‐Schauder fixed point theorem , the results of existence and uniqueness are obtained w hen the nonlinearity f satisifies proper grow th conditions .关键词
Fourier分析法/Leray-Schauder不动点定理/周期边值问题/解的存在唯一性Key words
Fourier analysis method/Leray-Schauder fixed point theorem/periodic boundary value problem/existence and uniqueness of solutions分类
数理科学引用本文复制引用
李永祥,白静..2n阶常微分方程周期边值问题解的存在唯一性[J].西北师范大学学报（自然科学版）,2015,(6):6-9,4.基金项目
国家自然科学基金资助项目（11261053）；甘肃省自然科学基金资助项目 （）
