Dichotomies and asymptotic equivalence in alternately advanced and delayed differential systems

被引：13

作者：

Coronel, Anibal ^{[1
]}

Maulen, Christopher ^{[2
]}

Pinto, Manuel ^{[2
]}

Sepulveda, Daniel ^{[3
]}

机构：

[1] Univ Bio Bio, Fac Ciencias, Dept Ciencias Basicas, GMA, Campus Fernando May, Chillan, Chile

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[3] Univ Cent Chile, Fac Ciencias Educ, Escuela Matemat & Estadist, Santiago, Chile

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 450卷 / 02期

关键词：

Dichotomies; Asymptotic equivalence; Piecewise constant arguments; Cauchy and Green matrices; Hybrid equations; Stability of solutions; PIECEWISE-CONSTANT ARGUMENT; ALMOST-PERIODIC SOLUTIONS; GENERALIZED TYPE; GREENS-FUNCTION; EQUATIONS; STABILITY; EXISTENCE;

D O I：

10.1016/j.jmaa.2017.01.087

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, ordinary and exponential dichotomies are defined in differential equations with equations with piecewise constant argument of general type. We prove the asymptotic equivalence between the bounded solutions of a linear system and a perturbed system with integrable and bounded perturbations. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1434 / 1458

页数：25

共 43 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]

Agarwal Ravil P, 2000, DIFFERENCE EQUATIONS

[3]

Akhmet M., 2014, NEURAL NETWORKS DISC, V9

[4] Stability of differential equations with piecewise constant arguments of generalized type [J].

Akhmet, M. U. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) :794-803

[5] Integral manifolds of differential equations with piecewise constant argument of generalized type [J].

Akhmet, M. U. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) :367-383

[6]

Akhmet M.U., 2011, ATLANTIS STUD MATH E, V8

[7] Almost periodic type solutions of differential equations with piecewise constant argument via almost periodic type sequences [J].

Alonso, AI ;

Hong, JL ;

Obaya, R .

APPLIED MATHEMATICS LETTERS, 2000, 13 (02) :131-137

[8]

[Anonymous], 1983, Trends in Theory and Practice of Nonlinear Differential Equations

[9]

[Anonymous], 1994, Analysis

[10]

[Anonymous], 1991, DIFFERENTIALANDINTEG

← 1 2 3 4 5 →