Higher-dimensional functional dynamic equations on periodic time scales

被引：4
|
作者：
Anderson, Douglas R. [1 ]
Hoffacker, Joan
机构：
[1] Concordia Coll, Dept Math & Comp Sci, Moorhead, MN 56562 USA
[2] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2008年 / 14卷 / 01期
关键词：
time scales; periodic solutions; functional dynamic equations; Krasnosel'skii fixed point theorem;
D O I：
10.1080/10236190701480778
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, by employing the Krasnosel'skii fixed point theorem we investigate the existence of multiple positive periodic solutions for functional dynamic equations on time scales of the form x(Delta)(t) = -A(t)x(sigma)(t) + lambda h(t)f(t,x(t)) where lambda > 0 is a parameter. Some general theorems are given and are applied to population growth models.
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页码：83 / 89
页数：7
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