Oscillations of even order half-linear impulsive delay differential equations with damping

被引:0
作者
Wen, Kunwen [1 ]
Wang, Genqiang [2 ]
Pan, Lijun [1 ]
机构
[1] Jiaying Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China
[2] Guangdong Polytech Normal Univ, Dept Comp Sci, Guangzhou 510665, Guangdong, Peoples R China
关键词
even order; impulsive delay differential equation; half-linear; damping; oscillation; CRITERIA;
D O I
10.1186/s13660-015-0791-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a kind of half-linear impulsive delay differential equations with damping is studied. By employing a generalized Riccati technique and the impulsive differential inequality, we derive several oscillation criteria which are either new or improve several recent results in the literature. In addition, we provide several examples to illustrate the use of our results.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 26 条
[1]   A Survey on Oscillation of Impulsive Ordinary Differential Equations [J].
Agarwal, Ravi P. ;
Karakoc, Fatma ;
Zafer, Agacik .
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[2]   A survey on oscillation of impulsive delay differential equations [J].
Agarwal, Ravi P. ;
Karakoc, Fatma .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (06) :1648-1685
[3]  
Agarwal RP, 2012, Nonoscillation theory of functional differential equations with applications
[4]  
Agarwal RP, 2003, OSCILLATION THEORY D
[5]   On the oscillation properties of first-order impulsive differential equations with a deviating argument [J].
Bainov, D ;
Domshlak, YI ;
Simeonov, PS .
ISRAEL JOURNAL OF MATHEMATICS, 1997, 98 (1) :167-187
[6]  
BAINOV D, 1997, APPL ANAL, V64, P57
[7]   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
[8]  
Chen YC, 1997, J MATH ANAL APPL, V210, P150
[9]  
Feng WZ, 2002, DYNAM CONT DIS SER A, V9, P367
[10]   ON DELAY DIFFERENTIAL-EQUATIONS WITH IMPULSES [J].
GOPALSAMY, K ;
ZHANG, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :110-122