有序Banach空间中二阶时滞微分方程正周期解的存在性Existence of Positive Periodic Solution for Second Order Differential Equation with Delays in Ordered Banach Spaces
吕娜
摘要(Abstract)：
研究了有序Banach空间E中二阶多时滞微分方程-u″(t)+a(t)u(t)=f(t,u(t-τ_1),…,u(t-τ_n)),t∈R,正ω-周期解的存在性,其中:a∈C(R)是正的ω-周期函数;f:R×Kn→K连续且f(t,v)关于t为ω-周期函数;v=(ν_1,ν_2,…,νn)∈K~n;K为正元锥;τ_i≥0,i=1,2,…n为常数.在较一般的非紧性测度条件与有序条件下,应用凝聚映射的不动点指数理论,获得了该问题正ω-周期解的存在性结果.
关键词(KeyWords)： Banach空间;正周期解;时滞;凝聚映射
基金项目(Foundation):
作者(Author): 吕娜
DOI: 10.13705/j.issn.1671-6841.2016058
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