Electron. J. Diff. Eqns., Vol. 2002(2002), No. 71, pp. 1-13.

Positive periodic solutions of functional differential equations and population models

Daqing Jiang, Junjie Wei, & Bo Zhang

Abstract:
In this paper, we employ Krasnosel'skii's fixed point theorem for cones to study the existence of positive periodic solutions to a system of infinite delay equations,
$$ x'(t) = A(t)x(t) + f(t,x_t). $$
We prove two general theorems and establish new periodicity conditions for several population growth models.

Submitted July 5, 2002. Published July 30, 2002.
Math Subject Classifications: 34K13, 92B05.
Key Words: Functional differential equations, positive periodic solution, population models.

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Daqing Jiang
Department of Mathematics
Northeast Normal University
Changchun, Jilin 130024, China
e-mail: daqingjiang@vip.163.com
Junjie Wei
Department of Mathematics
Northeast Normal University
Changchun, Jilin 130024, China
e-mail: weijj@nenu.edu.cn
Bo Zhang
Department of Mathematics and Computer Science
Fayetteville State University
Fayetteville, NC 28301, USA
e-mail: bzhang@uncfsu.edu

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