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

共 50 条

[1] On the Differential Equations with Piecewise Constant Argument
Elhadi Ait Dads
Safoua Khelifi
Mohsen Miraoui
Journal of Dynamical and Control Systems, 2023, 29 : 1251 - 1269
[2] Asymptotic equivalence of differential equations with piecewise constant argument
Song, Na
Li, Hong-Xu
MATHEMATICAL COMMUNICATIONS, 2013, 18 (02) : 479 - 488
[3] Oscillation of delay differential equations with piecewise constant argument
Luo Z.
Shen J.
Applied Mathematics-A Journal of Chinese Universities, 2000, 15 (4) : 383 - 390
[4] OSCILLATION OF DELAY DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
Luo Zhiguo Shen JianhuaDept. of Math.
AppliedMathematics:AJournalofChineseUniversities, 2000, (04) : 383 - 390
[5] On periodic solutions of differential equations with piecewise constant argument
Akhmet, M. U.
Buyukadali, C.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (08) : 2034 - 2042
[6] Stability of differential equations with piecewise constant argument via discrete equations
Marconato, SAS
Spezamiglio, A
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS, 2000, 7 (03): : 325 - 333
[7] Asymptotic constancy for impulsive differential equations with piecewise constant argument
Bereketoglu, Huseyin
Oztepe, Gizem S.
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2014, 57 (02): : 181 - 192
[8] On almost periodic solution of differential equations with piecewise constant argument
Yuan, Rong
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2006, 141 : 161 - 174
[9] Boundness and Linearisation of a Class of Differential Equations with Piecewise Constant Argument
Zou, Changwu
Xia, Yonghui
Pinto, Manuel
Shi, Jinlin
Bai, Yuzhen
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2019, 18 (02) : 495 - 531
[10] New Results on Linearization of Differential Equations with Piecewise Constant Argument
Huang, Hai
Xia, Yong-Hui
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2020, 19 (01)

← 1 2 3 4 5 →