摘要
用上下解方法和单调迭代法给出一类二阶迭代微分方程周期边值问题{-x″(t)=f(t,x(t),x(x(t))),t∈[0,T],x(0)=x(T),x′(0)=x′(T)解的存在性.
By using the upper and lower solution method and monotone iterative method,the author gave the existence of solutions for periodic boundary value problems of a class of second-order iterative differential equations{-x″(t)=f(t,x(t),x(x(t))),t∈[0,T],x(0)=x(T),x′(0)=x′(T).
作者
康慧君
KANG Huijun(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)
出处
《吉林大学学报（理学版）》
CAS
北大核心
2022年第5期1043-1049,共7页
Journal of Jilin University:Science Edition
基金
国家自然科学基金(批准号:12061064)。
关键词
二阶迭代微分方程
周期边值问题
上下解
单调迭代方法
存在性
second-order iterative differential equations
periodic boundary value problems
upper and lower solution
monotone iterative method
existence
