四川师范大学学报（自然科学版）2011，Vol.34Issue(2)：186-192,7.DOI:10.3969/j.issn.1001-8395.2011.02.010
具有时滞的脉冲互惠系统的正周期解的存在性
The Existence of Positive Periodic Solutions of a Mutual and Impulsive System with Time Delay
摘要
Abstract
In this paper, we study the existence of positive periodic solutions of a mutual and impulsive system with periodic time delay and periodic coefficients by using the continuation theorem of coincidence degree theory.A verifiable sufficient condition for the existence of at least one positive periodic solution of the system is obtained.An illustrative example is given to demonstrate the feasibility and effectiveness of the obtained results.The results are significant and useful in both theoretical and practical importance in population dynamics, especially in mutual system fields.Our result is a good complement to the earlier study on mutual system with time delay.关键词
互惠系统/脉冲/周期解/时滞/拓扑度Key words
mutual system/ impulse/ periodic solution/ time delay/ topological degree分类
数理科学引用本文复制引用
徐昌进,廖茂新..具有时滞的脉冲互惠系统的正周期解的存在性[J].四川师范大学学报（自然科学版）,2011,34(2):186-192,7.基金项目
国家自然科学基金(10771094)和湖南省教育厅基金(07C639)资助项目 （10771094）
