西北师范大学学报（自然科学版）2017，Vol.53Issue(1)：5-11,7.DOI:10.16783/j.cnki.nwnuz.2017.01.002
有序Banach空间二阶时滞微分方程的正周期解
Positive periodic solutions for the second order differential equation with delays in ordered Banach spaces
摘要
Abstract
The existence of positive periodic solutions for the second-order differential equation with multiple delays-u″(t)+a(t)u(t)=f(t,u(t-τ1 ),…,u(t-τn )),t∈R is discussed in an order Banach spaces E,where a∈C(R)is a positiveω-periodic function and f:R×En→E is a continuous function which isω-periodic in t,τ1 ,τ2 ,…,τn are positive constants.Under more general conditions of noncompactness and semi-ordering,the existence result of positive periodic solutions is obtained by employing the fixed point index theory of condensing mapping.关键词
Banach空间时滞微分方程/闭凸锥/凝聚映射/不动点指数/正周期解Key words
differential equation with multiple delays in Banach spaces/closed convex cone/condensing mapping/fixed point index/positive periodic solution分类
数理科学引用本文复制引用
李玉玉..有序Banach空间二阶时滞微分方程的正周期解[J].西北师范大学学报（自然科学版）,2017,53(1):5-11,7.基金项目
国家自然科学基金资助项目(11561603) （11561603）
甘肃交通职业技术学院资助项目(2015Y-06) （2015Y-06）
