Oscillation criteria for second-order nonlinear differential equations with impulses

被引:30
作者
Peng, MS [1 ]
Ge, WG [1 ]
机构
[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
oscillation; impulse; delay differential equation; nonlinearity;
D O I
10.1016/S0898-1221(00)00055-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The present paper is devoted to the investigation of the oscillatory behavior of a kind of extensively studied second-order nonlinear delay differential equations with impulses. Some interesting results are obtained, which illustrate that impulses play a very important role in giving rise to the oscillations of equations. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:217 / 225
页数:9
相关论文
共 12 条
[1]   Oscillation criteria for second-order retarded differential equations [J].
Agarwal, RP ;
Shieh, SL ;
Yeh, CC .
MATHEMATICAL AND COMPUTER MODELLING, 1997, 26 (04) :1-11
[2]   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
[3]  
Chen YC, 1997, J MATH ANAL APPL, V210, P150
[4]   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
[5]   ON DELAY DIFFERENTIAL-EQUATIONS WITH IMPULSES [J].
GOPALSAMY, K ;
ZHANG, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :110-122
[6]  
Gy??ri I., 1991, OSCILLATION THEORY D
[7]   Positive solutions and asymptotic behavior of delay differential equations with nonlinear impulses [J].
Jiang, Y ;
Yan, JA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 207 (02) :388-396
[8]  
Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6
[9]   Oscillation of nonlinear functional differential equations of the second order [J].
Li, HJ ;
Yeh, CC .
APPLIED MATHEMATICS LETTERS, 1998, 11 (01) :71-77
[10]   Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed argument [J].
Nasr, AH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (01) :51-59