Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales

被引：0
作者：
Kaihong Zhao
机构：
[1] Kunming University of Science and Technology,Department of Applied Mathematics
来源：
Advances in Difference Equations | / 2017卷
关键词：
positive periodic solution; Lotka-Volterra-like system; impulsive and time-delay functional differential equation; theorem of strict-set contractions; time scale; 34K13; 34N05; 26E70;
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摘要：
This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales. By applying a fixed point theorem of strict-set contractions, some sufficient conditions have been established to guarantee the existence of periodic solutions. As applications, the existence of positive periodic solutions is given for some common Lotka-Volterra systems on time scales.
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