The existence of almost periodic solutions of retarded differential equations with piecewise constant argument

被引：47

作者：

Yuan, R ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 10875, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 07期

基金：

中国国家自然科学基金;

关键词：

almost periodic solution; almost periodic sequence; asymptotically almost periodic sequence; piecewise constant argument; Razumikhin technique;

D O I：

10.1016/S0362-546X(00)00231-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of almost periodic solutions to retarded differential equations with piecewise constant argument was established. The Razumikhin technique was used to establish some theorems on the existence of almost periodic solutions. The Razumikhin technique used Liapunov function to develop this technique to study the stability of functional differential equations.

引用

页码：1013 / 1032

页数：20

共 50 条

[21] On periodic solutions of differential equations with piecewise constant argument
Akhmet, M. U.
Buyukadali, C.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (08) : 2034 - 2042
[22] Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]
Daxiong Piao
Science in China Series A: Mathematics, 2001, 44 : 1156 - 1161
[23] Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]
朴大雄
Science China Mathematics, 2001, (09) : 1156 - 1161
[24] Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]
Piao, Daxiong
Science in China, Series A: Mathematics, Physics, Astronomy, 2001, 44 (09): : 1156 - 1161
[25] Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]
朴大雄
ScienceinChina,SerA., 2001, Ser.A.2001 (09) : 1156 - 1161
[26] Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument [t]
Piao, DX
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2001, 44 (09): : 1156 - 1161
[27] Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences
Alonso, AI
Hong, JL
Obaya, R
APPLIED MATHEMATICS LETTERS, 2000, 13 (02) : 131 - 137
[28] Almost periodic solutions of a class of singularly perturbed differential equations with piecewise constant argument
Yuan, R
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 37 (07) : 841 - 859
[29] ALMOST AUTOMORPHIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
Zhang, Li-Li
Li, Hong-Xu
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 90 (01) : 99 - 112
[30] Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument
Marat Akhmet
Mehmet Onur Fen
Mokhtar Kirane
Neural Computing and Applications, 2016, 27 : 2483 - 2495

← 1 2 3 4 5 →