EXISTENCE AND STABILIZATION FOR IMPULSIVE DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH MULTIPLE DELAYS

被引：0

作者：

Pinelas, Sandra ^{[1
,2
]}

Tunc, Osman ^{[3
]}

Korkmaz, Erdal ^{[4
]}

Tunc, Cemil ^{[5
]}

机构：

[1] Acad Mil, Dept Ciencias Exatas & Engn, Ave Conde Castro Guimaraes, P-2720113 Amadora, Portugal

[2] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[3] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkiye

[4] Mus Alparslan Univ, Fac Arts & Sci, Dept Phys, TR-49250 Mus, Turkiye

[5] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 2024卷 / 07期

关键词：

Impulsive delay differential equations; exponentially stabilization; existence of solutions; multiple delays; PERIODIC-SOLUTIONS; STABILITY; BOUNDEDNESS; SYSTEMS;

D O I：

10.58997/ejde.2024.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Existence and stability of solutions are important parts in the qualitative study of delay differential equations. The stabilizing by imposing proper impulse controls are used in many areas of natural sciences and engineering. This article provides sufficient conditions for the existence and exponential stabilization of solutions to delay impulsive differential equations of second-order with multiple delays. The main tools in this article are the Schaefer fixed point theorem, fixed impulse effects, and Lyapunov-Krasovskii functionals. The outcomes extend earlier results in the literature.

引用

页数：18

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