Affiliation:
1. Department of Mathematics, National University of Defense Technology, Changsha 410073, China
2. Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, China
Abstract
By using a fixed-point theorem of strict-set-contraction, we investigate the existence of positive periodic solutions for a class of the following impulsive neutral Lotka-Volterra system with distributed delays:xi′(t)=xi(t)[ri(t)-∑j=1naij(t)xj(t)-∑j=1nbij(t)∫-τij0fij(ξ)xj(t+ξ)dξ-∑j=1ncij(t)∫-σij0gij(ξ)xj′(t+ξ)dξ], Δxi(tk)=-Iik(xi(tk)), i=1,2,…,n, k=1,2,….Some verifiable criteria are established easily.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis