摘要
本文指出文[1]中的一个失误,给出了一类半线性方程周期边值问题a(t)x″+b(t)x′+g(t,x)=e(t),x(0)-x(2π)=x′(0)-x′(2π)=0一个新的等价方程组,应用整体反函数定理得到文[1]的所有结论.
In this paper,it was pointed out that an error appeared in [1]. A new equations of equal value was given for periodic boundary value problem to a type of semilinear equation a(t)x″+b(t)x′+g(t,x)=e(t),x(0)-x(2π)=x′(0)-xv(2π)=0. The whole results in [-1] were proved by global inverse function theorems.
出处
《应用数学》
CSCD
北大核心
2006年第4期842-846,共5页
Mathematica Applicata
基金
徐州工程学院科研项目(200507)
关键词
周期解
半线性方程
存在唯一性
整体反函数定理
Periodic solution
A type of semilinear equation
Existence and uniuqeness
Global inverse function theorems