Oscillatory properties of second-order nonlinear neutral dynamic equations with positive and negative coefficients

被引：1
作者：
Chen D.-X. [1 ]
机构：
[1] College of Science, Hunan Institute of Engineering, 88, East Fuxing Road
来源：
Chen, D.-X. (cdx2003@163.com) | 2013年 / Springer Verlag卷 / 42期
关键词：
Neutral dynamic equation; Oscillation; Positive and negative coefficients;
D O I：
10.1007/s12190-012-0639-8
中图分类号：
学科分类号：
摘要：
This paper is to investigate the oscillatory properties of second-order nonlinear neutral dynamic equation with positive and negative coefficients of the form [Equation not available: see fulltext.] on an arbitrary time scale. We establish several oscillation criteria for the equation by using a generalized Riccati technique. The obtained results extend and improve certain existing results in the literature. Examples are shown to illustrate our main results. © 2012 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：227 / 243
页数：16
相关论文
共 24 条
[1]  
Abdalla, S.H., Oscillatory and non-oscillatory behavior of second-order neutral delay differential equations (2003) Appl. Math. Comput., 135, pp. 333-344. , 1934326 10.1016/S0096-3003(01)00335-6
[2]  
Adivar, M., Raffoul, Y.N., Stability and periodicity in dynamic delay equations (2009) Comput. Math. Appl., 58, pp. 264-272. , 2535793 1189.34143 10.1016/j.camwa.2009.03.065
[3]  
Adivar, M., Raffoul, Y.N., A note on "stability and periodicity in dynamic delay equations" [Comput. Math. Appl. 58 (2009) 264-272] (2010) Comput. Math. Appl., 59, pp. 3351-3354. , 2651874 1198.34150 10.1016/j.camwa.2010.03.025
[4]  
Agarwal, R.P., Bohner, M., O'Regan, D., Peterson, A., Dynamic equations on time scales: A survey (2002) J. Comput. Appl. Math., 141, pp. 1-26. , 1908825 1020.39008 10.1016/S0377-0427(01)00432-0
[5]  
Agarwal, R.P., Bohner, M., Saker, S.H., Oscillation of second order delay dynamic equations (2005) Can. Appl. Math. Q., 13, pp. 1-17. , 2236199 1126.39003
[6]  
Akin-Bohner, E., Hoffacker, J., Oscillation properties of an Emden-Fowler type equation on discrete time scales (2003) J. Differ. Equ. Appl., 9, pp. 603-612. , 1978127 1038.39009 10.1080/1023619021000053575
[7]  
Akin-Bohner, E., Bohner, M., Saker, S.H., Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations (2007) Electron. Trans. Numer. Anal., 27, pp. 1-12. , 2346144 1177.34047
[8]  
Baoguo, J., Erbe, L., Peterson, A., Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales (2011) Can. Math. Bull., 54, pp. 580-592. , 2894509 1246.34066 10.4153/CMB-2011-034-4
[9]  
Bohner, M., Peterson, A., (2001) Dynamic Equations on Time Scales: An Introduction with Applications, , Birkhäuser Boston 10.1007/978-1-4612-0201-1
[10]  
Bohner, M., Peterson, A., (2003) Advances in Dynamic Equations on Time Scales, , Birkhäuser Boston 1025.34001 10.1007/978-0-8176-8230-9
123