脉冲泛函微分方程三个正周期解的存在性

用锥不动点定理,建立了形如的{y'(t)=-a(t)y(t)+g(t,y(t-τ(t)))t3tj y(tj+)=y(tj-)+Ij(y(tj))t∈z脉冲泛函微分方程3个正周期解存在的充分条件,其中,α∈ C(R,R+),τ∈ C(R,R),g∈ C(R×[0,∞),[0,∞)),α,τ,g是ω-周期函数.

Abstract：

By using a fixed point theorem in cones,some sufficient conditions are established for the existence of three positive periodic solutions for a kind of nonautonomous functional differential equations with impulses and delays of the form {y'(t)=-a(t)y(t)+g(t,y(t-τ(t)))t3tj y(tj+)=y(tj-)+Ij(y(tj))t∈z where α∈ C(R,R+),τ∈ C(R,R),g∈ C(R×[0,∞),[0,∞)),and α,τ,gareω-periodic functions,and ω> 0 is a constant.