Abstract

Applying a fixed point theorem of strict-set-contraction, some new criteria are established for the existence of positive periodic solutions of the following neutral functional differential equation: x ′ ( t ) = x ( t ) [ a ( t ) − F ( t , x ( t ) , x ( t − σ 1 ( t ) ) , … , x ( t − σ n ( t ) ) , x ′ ( t − τ 1 ( t ) ) , … , x ′ ( t − τ m ( t ) ) ) ] .

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