On the oscillation of third order neutral delay dynamic equations on time scales

被引:63
作者
Grace, Said R. [2 ]
Graef, John R. [1 ]
El-Beltagy, Mohamed A. [2 ]
机构
[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA
[2] Cairo Univ, Dept Engn Math, Fac Engn, Giza 12221, Egypt
关键词
Dynamic equations; Third order; Neutral delay equations; Nonlinear equations; Oscillation; Time scales; 2ND-ORDER; CRITERIA;
D O I
10.1016/j.camwa.2011.11.042
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Han et al. [Z. Han, T. Li, S. Sun, C. Zhang, Oscillation behavior of third order neutral Emden-Fowler delay dynamic equations on time-scales, Adv. Differential Equations 2010 (2010). Article ID 586312, 23 pages] gave some criteria for the oscillation and asymptotic behavior of solutions of the third order neutral delay dynamic equation (r(t) (x(t) - a(t)x (tau (t)))(Delta Delta))(Delta) + p(t)x(gamma) (delta(t)) = 0 on a time scale T, where gamma > 0 is the quotient of odd positive integers. In this paper, the authors establish some new criteria for the oscillation of this equation that improve and unify those of Han et al. (c) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码:775 / 782
页数:8
相关论文
共 7 条
[1]  
[Anonymous], ADV DYNAMIC EQUATION
[2]  
[Anonymous], DYNAMIC EQUATIONS TI
[3]   Oscillation criteria for second-order nonlinear delay dynamic equations [J].
Erbe, L. ;
Peterson, A. ;
Saker, S. H. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 333 (01) :505-522
[4]   On the oscillation of second-order half-linear dynamic equations [J].
Grace, Said R. ;
Bohner, Martin ;
Agarwal, Ravi P. .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (05) :451-460
[5]   Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations [J].
Grace, Said R. ;
Agarwal, Ravi P. ;
Bohner, Martin ;
O'Regan, Donal .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (08) :3463-3471
[6]  
Han Z., 2010, Adv. Difference Equ ., V2010
[7]   Oscillation criteria for a class of second-order Emden-Fowler delay dynamic equations on time scales [J].
Han, Zhenlai ;
Sun, Shurong ;
Shi, Bao .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) :847-858