一类具非线性密度制约的时滞周期脉冲Logistic系统正周期解的存在性(英文)

Existence of Positive Periodic Solution for a Delay Periodic Impulsive Logistic System with Nonlinear Density Dependence

利用重合度理论中的延拓定理,研究一类具非线性密度制约的时滞周期脉冲Logistic系统,获得了易验证的系统至少存在一个正周期解的充分条件.

A delay periodic impulsive logistic system with nonlinear density dependence is investigated. By applying the continuous theorem of coincidence degree theory,a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solution.