On the Oscillation of nth Order Dynamic Equations on Time-Scales

被引:17
作者
Grace, Said R. [1 ]
机构
[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt
关键词
Oscillation; nth order; dynamic equation; time-scale;
D O I
10.1007/s00009-012-0201-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present some new criteria for the oscillation of even order dynamic equation (a(t)(x(Delta n-1) (t))(alpha))(Delta) + q(t)(x(sigma)(t))(lambda) = 0 on an unbounded above time scale T, where alpha and lambda are the ratios of positive odd integers, a and q is a real valued positive rd-continuous functions defined on T.
引用
收藏
页码:147 / 156
页数:10
相关论文
共 11 条
[1]  
Agarwal R. P., 1999, Results Math, V35, P3, DOI DOI 10.1007/BF03322019
[2]  
[Anonymous], 1959, INEQUALITIES
[3]  
Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[4]   Oscillation and Asymptotic Behavior for nth-order Nonlinear Neutral Delay Dynamic Equations on Time Scales [J].
Chen, Da-Xue .
ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :703-719
[5]   OSCILLATION OF nTH ORDER SUPERLINEAR DYNAMIC EQUATIONS ON TIME SCALES [J].
Erbe, Lynn ;
Jia Baoguo ;
Peterson, Allan .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (02) :471-491
[6]   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
[7]   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
[8]  
Hilger S., 1990, Result math, V18, P18, DOI [DOI 10.1007/BF03323153, 10.1007/BF03323153]
[9]   Asymptotic behaviour of bounded solutions of a class of higher-order neutral dynamic equations [J].
Karpuz, Basak .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (06) :2174-2183
[10]  
Karpuz B, 2009, ELECTRON J QUAL THEO, P1