Existence of positive solutions of second‐order delayed differential system on infinite interval

The present paper is focused on the analysis on the existence of positive solutions of a second‐order differential system with two delaysx 1 ′ ′ ( t ) − a 1 ( t ) x 1 ( t ) + m 1 ( t ) f 1 ( t , x ( t ) , x τ ( t ) ) = 0 ,t > 0 ,x 2 ′ ′ ( t ) − a 2 ( t ) x 2 ( t ) + m 2 ( t ) f 2 ( t , x ( t ) , x τ ( t ) ) = 0 ,t > 0 ,x 1 ( t ) = 0 , − τ 1≤ t ≤ 0 , andlim t → ∞x 1 ( t ) = 0 ,x 2 ( t ) = 0 , − τ 2≤ t ≤ 0 , andlim t → ∞x 2 ( t ) = 0by using two well‐known fixed point theorems.