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一类无穷分布时滞周期Lotka-Volterra型系统的正周期解 被引量:3

The Positive Periodic Solutions of a Class of Periodic Lotka-Volterra Type Systems with Infinite Distributed Delay
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摘要 该文研究一类无穷分布时滞周期两种群Lotka-Volterra型竞争系统正周期解的存在性。利用Mawhin重合度理论中的延拓定理得到了系统存在一个正周期解的充分条件。 In this paper, the existence of positive periodic solutions of a class of periodic Lotka-Volterra type systems with distributed delay is studied. By using the continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained, which improve and generalize some known results.
出处 《工程数学学报》 CSCD 北大核心 2005年第3期463-468,共6页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(10471040)山东省自然科学基金(2005Z010).
关键词 无穷分布时滞 重合度 正周期解 infinite distributed delay coincidence degree positive periodic solution
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  • 1LiJianli ShenJianhua.POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE LATKA-VOLTERRA EQUATIONS[J].Annals of Differential Equations,2005,21(2):161-168. 被引量:1
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