Oscillation criteria for impulsive parabolic differential equations with delay

被引：40
|
作者：
Fu, XL [1 ]
Liu, XZ
Sivaloganathan, S
机构：
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[2] Shandong Normal Univ, Dept Math, Jinan 250014, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 268卷 / 02期
基金：
加拿大自然科学与工程研究理事会; 中国国家自然科学基金;
关键词：
parabolic system; impulsive; delay; oscillation;
D O I：
10.1006/jmaa.2001.7840
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a class of nonlinear impulsive parabolic systems with delay. Several oscillation criteria are established for such systems subject to two different boundary conditions by employing Gauss' divergence theorem and certain impulsive delay differential inequalities. (C) 2002 Elsevier Science (USA).
引用
收藏
页码：647 / 664
页数：18
相关论文
共 50 条
  • [41] Oscillation of solutions of impulsive nonlinear parabolic differential-difference equations
    Bainov, D
    Minchev, E
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1996, 35 (01) : 207 - 215
  • [42] Oscillation of solutions for certain impulsive vector parabolic differential equations with delays
    Li, Wei Nian
    Han, Maoan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) : 363 - 371
  • [43] Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays
    Li, WN
    Han, MA
    Meng, FW
    APPLIED MATHEMATICS LETTERS, 2005, 18 (10) : 1149 - 1155
  • [44] Oscillation criteria for second-order impulsive delay difference equations
    Peng, MS
    APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) : 227 - 235
  • [45] Interval oscillation criteria for second-order forced impulsive delay differential equations with damping term
    Thandapani, Ethiraju
    Kannan, Manju
    Pinelas, Sandra
    SPRINGERPLUS, 2016, 5
  • [46] Forced Oscillation Criteria of Solutions for a Class of Impulsive Parabolic Equations with Two Delays
    Liu Junhong
    Yang Wanli
    Zheng Suwen
    Li Lifeng
    2013 INTERNATIONAL CONFERENCE ON ADVANCED MECHATRONIC SYSTEMS (ICAMECHS), 2013, : 332 - 334
  • [47] OSCILLATION OF SYSTEMS OF IMPULSIVE DELAY PARABOLIC EQUATIONS ABOUT BOUNDARY VALUE PROBLEMS
    Luo Lipng Peng Baiyu Yang Liu (Dept.of Math.
    Annals of Differential Equations, 2007, (04) : 470 - 476
  • [48] Forced oscillations of solutions of impulsive nonlinear parabolic differential equations with delay
    Chang, Tao
    Liu, Anping
    Zhang, Linli
    Zou, Min
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 69 - 71
  • [49] Forced oscillations of solutions impulsive nonlinear parabolic differential equations with delay
    Liu, AP
    Xiao, L
    Liu, T
    Li, YA
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 668 - 674
  • [50] Kamenev type oscillation criteria for second order impulsive differential equations
    Tallah, S. Euat
    Elsheikh, M. M. A.
    Ismail, G. A. F.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 26 (02): : 172 - 183
12345