Asymptotic equivalence of impulsive dynamic equations on time scales

被引：0
作者：
Akgol, Sibel Dogru [1 ]
机构：
[1] Atilim Univ, Dept Math, TR-06830 Ankara, Turkiye
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 02期
关键词：
asymptotic equivalence; dynamic equations; time scales; impulsive; linear/quasilinear;
D O I：
10.15672/hujms.1103384
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The asymptotic equivalence of linear and quasilinear impulsive dynamic equations on time scales, as well as two types of linear equations, are proven under mild conditions. To establish the asymptotic equivalence of two impulsive dynamic equations a method has been developed that does not require restrictive conditions, such as the boundedness of the solutions. Not only the time scale extensions of former results have been obtained, but also improved for impulsive differential equations defined on the real line. Some illustrative examples are also provided, including an application to a generalized Duffing equation.
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收藏
页码：277 / 291
页数：15
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