一类非线性脉冲时滞微分方程正周期解的存在性

Existence of Positive Periodic Solutions for a Class of Nonlinear Differential Equation with Impulsive and Delay

关键词:  脉冲  时滞  周期解  不动点定理

Key words:  impulsive  delay  periodic solutions  fixed point theorem

摘要:

在不要求极限f₀,f_∞是0或∞且f-g ≥ 0的条件下,利用锥不动点定理,获得一类非线性脉冲时滞微分方程至少存在1~2个正k-周期解的充分条件.

Abstract:

By using the fixed-point theorem, some sufficient conditions were obtained for the existence and multiplicity solutions of positive periodic solutions of a class of nonlinear differential equation with impulsive and delay.