讨论有序Banach 空间E中二阶时滞微分方程-u″(t)+a(t)u(t)=f(t,u(t-τ1),…,u(t-τn )),t∈ R正ω-周期解的存在性,其中a是定义在实数空间 R上正的连续的ω-周期函数,f：R ×En →E 连续,且关于t以ω为周期,τ1,τ2,…,τn>0为常数。在较一般的非紧性测度条件与序条件下用凝聚映射的不动点指数理论获得了该问题正周期解的存在性结果。%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.
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