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
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.
引用
收藏
页码:83 / 89
页数:7
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