Preservation of nonoscillatory behavior of solutions of second-order delay differential equations under impulsive perturbations

被引：6

作者：

Peng, MS ^{[1
]}

Ge, WG

Xu, QL

机构：

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

[2] Beijing Inst Technol, Dept Math Appl, Beijing 100081, Peoples R China

[3] Yiyang Teachers Coll, Dept Math, Yiyang 413049, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 02期

关键词：

impulse; delay differential equation; existence and uniqueness; nonoscillation;

D O I：

10.1016/S0893-9659(01)00119-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We offer new criteria for the preservation of nonoscillatory behavior of solutions of the delay differential equation of second-order x"(t) + p(t)x(t - tau) = 0, t greater than or equal to t(0) under impulsive perturbations. A technique of direct analysis in this paper is developed. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：203 / 210

页数：8

共 17 条

[1]

Bainov D., 1989, SYSTEMS IMPULSES EFF

[2]

Bainov D. D., 1996, APPL ANAL, V63, P287

[3]

BAINOV DD, 1999, J APPL MATH STOCHAST, V12, P461

[4]

Bainov DD., 1997, APPL ANAL, V64, P57, DOI [10.1080/00036819708840523, DOI 10.1080/00036819708840523]

[5] Oscillation of a second order impulsive linear delay differential equation [J].

Berezansky, L ;

Braverman, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 233 (01) :276-300

[6] THE PERSISTENCE OF NONOSCILLATORY SOLUTIONS OF DELAY-DIFFERENTIAL EQUATIONS UNDER IMPULSIVE PERTURBATIONS [J].

CHEN, MP ;

YU, JS ;

SHEN, JH .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (08) :1-6

[7]

Chen YC, 1997, J MATH ANAL APPL, V210, P150

[8] Nonoscillation of first order impulse differential equations with delay [J].

Domoshnitsky, A ;

Drakhlin, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 206 (01) :254-269

[9] ON DELAY DIFFERENTIAL-EQUATIONS WITH IMPULSES [J].

GOPALSAMY, K ;

ZHANG, BG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :110-122

[10]

Gy??ri I., 1991, OSCILLATION THEORY D

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