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时标上一类具有反馈控制的人口模型周期解的存在性与唯一性
Existence and Uniqueness of Periodic Solutions for a Kind of Population Model with Feedback Control on Time Scales
【摘要】 由于时标理论不仅能够统一连续和离散分析,而且也具有重要的应用价值,因此主要研究时标上一类具有反馈控制的人口模型.利用Krssnoselskii不动点定理,得到了此人口模型周期解的存在性与唯一性.
【Abstract】 Since time scale calculus is the unification of the theory of difference equations with differential equations and has important applications,this work deals with a kind of population model with feedback control on periodic time scales.By means of a fixed point theorem due to Krasnoselskii,sufficient conditions are obtained to guarantee the existence and uniqueness of periodic solutions for the above population model.
【基金】 北京市自然科学基金(1122016);北京市教委科技计划项目(KM201311417006);北京联合大学自然科学类新起点计划项目(zk201203)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2013年13期
- 【分类号】O231
- 【被引频次】1
- 【下载频次】85