论文信息 - Multiple positive periodic solutions of nonlinear functional differential system with feedback control

Multiple positive periodic solutions of nonlinear functional differential system with feedback control

Abstract In this paper, we employ Avery–Henderson fixed point theorem to study the existence of positive periodic solutions to the following nonlinear nonautonomous functional differential system with feedback control: dx dt =−r(t)x(t)+F(t,x t ,u(t−δ(t))), du dt =−h(t)u(t)+g(t)x(t−σ(t)). We show that the system above has at least two positive periodic solutions under certain growth condition imposed on F.

Ping Liu | Yongkun Li | Yongkun Li | Ping Liu

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