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.

引用

页码：83 / 89

页数：7

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