吉林大学学报（理学版）2017，Vol.55Issue(5)：1077-1083,7.DOI:10.13413/j.cnki.jdxblxb.2017.05.06
二阶多时滞微分方程周期解的存在性
Existence of Periodic Solutions for Second Order Differential Equations with Multiple Delays
摘要
Abstract
Using the monotone iterative method of upper and lower solutions,we considered the existence of ω-periodic solutions for the second order differential equation with multiple delays -u″(t)=f(t,u(t),u(t-τ1),u(t-τ2),…,u(t-τn)),t ∈ R,where f:R × Rn+1→R was a continuous function which was ω-periodic on t,and τ1,τ2,…,τn were positive constants.By establishing a new maximum principle,we constructed a monotone iterative procedure to seek the ω-periodic solutions of the equation,and proved existence and uniqueness of ω-periodic solutions.关键词
时滞微分方程/单调迭代方法/周期解Key words
differential equation with delay/monotone iterative method/periodic solution分类
数理科学引用本文复制引用
朱俐玫,李永祥..二阶多时滞微分方程周期解的存在性[J].吉林大学学报（理学版）,2017,55(5):1077-1083,7.基金项目
国家自然科学基金(批准号:11261053 （）
16611071)和甘肃省自然科学基金(批准号:1208RJZA129). （批准号:1208RJZA129）
