- Research Article
- Open access
- Published:
Oscillation of higher-order delay difference equations
Advances in Difference Equations volume 2006, Article number: 065789 (2006)
Abstract
The oscillation and asymptotic behavior of the higher-order delay difference equation , n = 0,1,2,..., are investigated. Some sufficient conditions of oscillation and bounded oscillation of the above equation are obtained.
References
Agarwal RP: Difference Equations and Inequalities. Theory, Methods, and Applications, Monographs and Textbooks in Pure and Applied Mathematics. Volume 228. 2nd edition. Marcel Dekker, New York; 2000:xvi+971.
Cheng JF: Necessary and sufficient conditions for the oscillation of first-order functional difference equations. Journal of Biomathematics 2003,18(3):295–298.
Meng Q, Yan JR: Sufficient conditions for the oscillation of non-autonomous difference equations. Acta Mathematicae Applicatae Sinica 2002,18(2):325–332. 10.1007/s102550200032
Tang QG, Deng YB: Oscillation of difference equations with several delays. Journal of Hunan University 1998,25(2):1–3.
Tang XH, Yu JS: A further result on the oscillation of delay difference equations. Computers & Mathematics with Applications 1999,38(11–12):229–237. 10.1016/S0898-1221(99)00301-6
Tang XH, Yu JS: Oscillation of delay difference equation. Computers & Mathematics with Applications 1999,37(7):11–20. 10.1016/S0898-1221(99)00083-8
Tang XH, Yu JS: Oscillations of delay difference equations in a critical state. Applied Mathematics Letters 2000,13(2):9–15. 10.1016/S0893-9659(99)00158-5
Tang XH, Zhang RY: New oscillation criteria for delay difference equations. Computers & Mathematics with Applications 2001,42(10–11):1319–1330. 10.1016/S0898-1221(01)00243-7
Wang X: Oscillation of delay difference equations with several delays. Journal of Mathematical Analysis and Applications 2003,286(2):664–674. 10.1016/S0022-247X(03)00508-0
Zhou Y: Oscillation and nonoscillation for difference equations with variable delays. Applied Mathematics Letters 2003,16(7):1083–1088. 10.1016/S0893-9659(03)90098-X
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Zhou, Y. Oscillation of higher-order delay difference equations. Adv Differ Equ 2006, 065789 (2006). https://doi.org/10.1155/ADE/2006/65789
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1155/ADE/2006/65789