On Stability of Dynamic Equations on Time Scales Via Dichotomic Maps

被引：0
作者：
Hatipoglu, Veysel Fuat [1 ]
Kocak, Zeynep Fidan [1 ]
Ucar, Deniz [2 ]
机构：
[1] Mugla Univ, Dept Math, Mugla, Turkey
[2] Usak Univ, Dept Math, Usak, Turkey
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2012年 / 7卷 / 02期
关键词：
Dichotomic Maps; Stability; Time Scales;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Dichotomic maps are used to check the stability of ordinary differential equations and difference equations. In this paper, this method is extended to dynamic equations on time scales; the stability and asymptotic stability to the trivial solution of the first order system of dynamic equations are examined using dichotomic and strictly dichotomic maps. This method, in dynamic equations, also involves Lyapunov's direct method.
引用
收藏
页码：500 / 507
页数：8
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