Bounded Oscillation of Second-Order Half-Linear Neutral Delay Dynamic Equations

被引:0
作者
Chen, Da-Xue [1 ]
机构
[1] Hunan Inst Engn, Coll Sci, Xiangtan 411104, Peoples R China
关键词
Time scale; oscillation; second-order half-linear neutral delay dynamic equation; Riccati substitution; oscillating coefficient; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC-BEHAVIOR; CRITERIA;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we deal with the oscillation of bounded solutions of a class of second-order half-linear neutral delay dynamic equations with an oscillating coefficient on a time scale. We establish several oscillation criteria for all bounded solutions of the equations by employing a generalized Riccati technique and an integral averaging technique. The results obtained here extend and complement some known results concerning the equations in which the coefficients are of one sign. Examples are given to illustrate our main results.
引用
收藏
页码:807 / 823
页数:17
相关论文
共 43 条
[1]   Dynamic equations on time scales: a survey [J].
Agarwal, R ;
Bohner, M ;
O'Regan, D ;
Peterson, A .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :1-26
[2]  
[Anonymous], 1988, THESIS U WURZBURG WU
[3]   Existence results for second order boundary value problem of impulsive dynamic equations on time scales [J].
Benchohra, M ;
Ntouyas, SK ;
Ouahab, A .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (01) :65-73
[4]   Oscillation criteria for perturbed nonlinear dynamic equations [J].
Bohner, M ;
Saker, SH .
MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (3-4) :249-260
[5]  
Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
[6]  
Bohner M., 2003, Advances in Dynamic Equations on Time Scales, DOI DOI 10.1007/978-0-8176-8230-9
[7]   Oscillatory behaviour of a higher-order nonlinear neutral type functional difference equation with oscillating coefficients [J].
Bolat, Y ;
Akin, Ö .
APPLIED MATHEMATICS LETTERS, 2004, 17 (09) :1073-1078
[8]   Oscillatory behaviour of higher order neutral type nonlinear forced differential equation with oscillating coefficients [J].
Bolat, Y ;
Akin, O .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 290 (01) :302-309
[9]  
Chen, 2008, CAN APPL MATH Q, V16, P19
[10]   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