Existence of Positive Periodic Solutions for Functional Differential Equations with Parameter

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LI Xiao-huan(Zhuzhou Professional Technology College, Zhuzhou Hunan 412001 china)
Journal Title:
Journal of Biomathematics
Volume 27, Issue 01, 2012
Key Word:
Positive periodic solution;Existence;Fixed pointindex

Abstract: In this paper,we study the existence multiplicity and nonexistence of positive ω-periodic solutions for a kind of nonautonomous functional differential equation by employing the fixed point therem in cones.Some new results axe 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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