Almost periodic solutions of a class of singularly perturbed differential equations with piecewise constant argument

被引：12

作者：

Yuan, R ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1999年 / 37卷 / 07期

基金：

中国国家自然科学基金;

关键词：

almost periodic solutions; almost periodic sequences; piecewise constant argument; singular perturbation;

D O I：

10.1016/S0362-546X(98)00076-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence problem of almost periodic solutions to singularly perturbed systems of differential equations with piecewise constant argument is investigated. The interest in differential equations with piecewise constant argument is motivated because they describe hybrid dynamical systems. The stability, the oscillation and the existence of periodic solutions of the differential equations are analyzed.

引用

页码：841 / 859

页数：19

共 20 条

[1] OSCILLATORY AND PERIODIC-SOLUTIONS OF DELAY DIFFERENTIAL-EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT [J].

AFTABIZADEH, AR ;

WIENER, J ;

XU, JM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (04) :673-679

[2]

[Anonymous], ANALYSIS

[3]

Anosov D.V., 1963, AM MATH SOC T, V33, P233

[4]

Busenberg S, 1982, NONLINEAR PHENOMENA, P179

[5] ALMOST PERIODIC SOLUTIONS OF SINGULARLY PERTURBED SYSTEMS OF DIFFERENTIAL EQUATIONS [J].

CHANG, KW .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1968, 4 (02) :300-&

[6] RETARDED DIFFERENTIAL-EQUATIONS WITH PIECEWISE CONSTANT DELAYS [J].

COOKE, KL ;

WIENER, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 99 (01) :265-297

[7]

COOKE KL, 1991, LECT NOTES MATH, V1475, P1

[8]

COOKE KL, 1987, B UNIONE MAT ITAL, V1B, P321

[9]

Fink A., 1974, LECT NOTES MATH, V377

[10]

FLATTO L, 1955, J RATION MECH ANAL, V4, P943

← 1 2 →