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一类广义单种群Logistic模型正周期解的存在性和唯一性 被引量:1

Existence and Uniqueness of Positive Periodic Solution for a Kind of Generalized Logistic Model of Single Species
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摘要 该文利用Krasnoselskii不动点定理和Schwarz不等式,获得了关于非自治的广义单种群Logistic模型的正周期解的存在性和唯一性的一些新的结果. By using the method of Krasnoselskii s fixed point theorem and Schwarz inequality, new results on the existence and uniqueness of positiveω-periodic solution for the nonautonomous generalized Logistic model of single species of the form x=x(t){α(t)-b(t)x(t)-∑i=1^nci(t)x(t-τi(t))-∫-∞^0 k(t,s)x(t+s)ds} are obtained.
机构地区 红河学院数学系
出处 《数学物理学报(A辑)》 CSCD 北大核心 2009年第5期1442-1452,共11页 Acta Mathematica Scientia
基金 国家自然科学基金(10571062) 云南省教育厅科学研究基金(07Y10085) 红河学院博硕启动基金(XSS06009)资助
关键词 时滞微分方程 KRASNOSELSKII不动点定理 周期解 Delay differential equation Uniqueness Krasnoselskii s fixed point theorem Periodic solutions
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