Advanced Impulsive Differential Equations with Piecewise Constant Arguments

被引：36

作者：

Bereketoglu, H. ^{[1
]}

Seyhan, G. ^{[1
]}

Ogun, A. ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2010年 / 15卷 / 02期

关键词：

impulsive differential equation; differential equation with piecewise constant argument; oscillation; nonoscillation; periodicity; global asymptotic stability; PERIODIC-SOLUTIONS; DELAY; STABILITY; OSCILLATION; SYSTEMS;

D O I：

10.3846/1392-6292.2010.15.175-187

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases.

引用

页码：175 / 187

页数：13

共 28 条

[1] OSCILLATORY AND PERIODIC-SOLUTIONS OF DELAY DIFFERENTIAL-EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
AFTABIZADEH, AR
WIENER, J
XU, JM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 99 (04) : 673 - 679
[2] OSCILLATORY PROPERTIES OF 1ST ORDER LINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS
AFTABIZADEH, AR
WIENER, J
[J]. APPLICABLE ANALYSIS, 1985, 20 (3-4) : 165 - 187
[3] Stability of singularly perturbed switched systems with time delay and impulsive effects
Alwan, Mohamad S.
Liu, Xinzhi
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 4297 - 4308
[4] [Anonymous], 1983, Trends in Theory and Practice of Nonlinear Differential Equations
[5] [Anonymous], 1988, Appl. Anal.
[6] [Anonymous], 1990, Journal of Mathematical Analysis and Applications, DOI DOI 10.1016/0022-247X(90)90286-O
[7] [Anonymous], 2000, Nonlinear Stud.
[8] [Anonymous], DIFFERENTIAL INTEGRA
[9] Bereketoglu H, 2008, DYNAM SYST APPL, V17, P71
[10] Bereketoglu H, 2003, DISCRETE CONT DYN-A, P100

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