| 一类带参数的泛函微分方程的正周期解的存在性(英文) |
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| 引用本文： | 李潇寰.一类带参数的泛函微分方程的正周期解的存在性(英文)[J].生物数学学报,2012(1):11-20. |
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| 作者姓名： | 李潇寰 |
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| 作者单位： | 株洲职业技术学院 |
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| 摘 要： | 利用锥上不动点理论,本文研究了一类非线性泛函微分方程正周期解的存在多样性和ω-周期解的不存在性.获得了一些新的结果.应用这些新的结果,讨论了一类带参数的血细胞生成模型,给出该模型的正周期解的存在性,此结果利用以前的方法是无法得到的.
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| 关 键 词： | 正周期解 存在性 锥不动点定理 |
Existence of Positive Periodic Solutions for Functional Differential Equations with Parameter |
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| LI Xiao-huan.Existence of Positive Periodic Solutions for Functional Differential Equations with Parameter[J].Journal of Biomathematics,2012(1):11-20. |
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| Authors: | LI Xiao-huan |
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| Institution: | LI Xiao-huan (Zhuzhou Professional Technology College,Zhuzhou Hunan 412001 china) |
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| Abstract: | In this paper,we study the existence multiplicity and nonexistence of positiveω-periodic solutions for a kind of nonautonomous functional differential equation by employing the fixed point therem in cones.Some new results are obtained.As an application of our sesults,we discuss the existence of a positive periodic solution for a class of models of blood cell production with a parameter,which has not been investigated by using previous methods. |
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| Keywords: | Positive periodic solution Existence Fixed pointindex |
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