一类带参数的泛函微分方程的正周期解的存在性(英文)

Existence of Positive Periodic Solutions for Functional Differential Equations with Parameter

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.

In this paper ,we study the existence multiplicity and nonexistence of positive w-periodic solutions for a kind of nonautonomous functional differential equa- tion by employing the fixed point thereto 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 investi- gated by using previous methods.