摘要
Abstract
Existence of positiveω-periodic solution was studied for second order differential equation with delays in ordered Banach space E-u″(t) +a(t)u(t) =f(t,u(t-τ1),…,u(t-τn)),t∈R, where a∈C( R) was a positive ω-periodic function,f:R × Kn→K was a continuous function, and f( t,v) wasω-periodic in t, v=(ν1,ν2,…,νn)∈Kn, K was the positive cone,τi≥0,i=1,2,…n were constants. Un-der more general conditions of noncompactness measure and semi-ordering, the existence results of posi-tive ω-periodic solutions were obtained by applying the fixed point fixed theory of condensing mapping.关键词
Banach空间/正周期解/时滞/凝聚映射Key words
Banach spaces/positive periodic solution/delay/condensing mapping分类
数理科学
