On the Differential Equations with Piecewise Constant Argument

被引：1

作者：

Dads, Elhadi Ait ^{[1
,2
]}

Khelifi, Safoua ^{[3
]}

Miraoui, Mohsen ^{[4
]}

机构：

[1] Univ Cadi Ayyad, Dept Math, LMDP, POB 2390, Marrakech, Morocco

[2] Sorbonne Univ, IRD Bondy, 8 ED130 UMMISCO, Paris, France

[3] Univ Sfax, Sfax, Tunisia

[4] Univ Kairouan, Kairouan, Tunisia

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2023年 / 29卷 / 04期

关键词：

Differential equation; Difference equation; Pseudo S-asymptotically omega-periodic solutions; Piecewise constant argument; ALMOST-PERIODIC-SOLUTIONS; EXISTENCE;

D O I：

10.1007/s10883-022-09633-x

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we introduce a concept of pseudo S-asymptotically omega-periodic (PSAP(omega)) solutions, we establish some new composition theorems. By using the roughness theory of exponential dichotomies and the contraction mapping, some sufficient conditions are obtained for the existence and uniqueness of PSAP(omega) solutions (abbreviated in EPCA) forsome difference and differential equations with piecewise constant argument

引用

页码：1251 / 1269

页数：19

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