Oscillation and Nonoscillation Theorems for a Class of Fourth Order Quasilinear Difference Equations

LanChu LIU, Youwu GAO

Abstract


In this paper, we consider certain quasilinear  difference equations$$(A)~~~~~~~~~~~~~~~\Delta^{2}(\mid\Delta^{2}y_{n}\mid^{\alpha-1}\Delta^{2}y_{n})+q_{n}\midy_{\tau(n)}\mid^{\beta-1}y_{\tau(n)}=0$$where \\(a) $\alpha,\beta $ are positive constants;  \\(b) $\{q_{n}\}_{n_{0}}^{\infty}$ arepositive real sequences. $n_{0}\in N_{0}=\{1,2,\cdots \}$.Oscillation and nonoscillation theorems  of the above equation is obtained.


Keywords


Quasilinear difference equations; Oscillation and nonoscillation theorems; Four order

Full Text:

PDF


DOI: http://dx.doi.org/10.3968/j.sms.1923845220130601.563

Refbacks

  • There are currently no refbacks.



Share us to:   


Reminder

If you have already registered in Journal A and plan to submit article(s) to Journal B, please click the CATEGORIES, or JOURNALS A-Z on the right side of the "HOME".


We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
caooc@hotmail.com; sms@cscanada.net; sms@cscanada.org

 Articles published in Studies in Mathematical Sciences are licensed under Creative Commons Attribution 4.0 (CC-BY).

 STUDIES IN MATHEMATICAL SCIENCES Editorial Office

Address: 9375 Rue de Roissy Brossard, Québec, J4X 3A1, Canada

Telephone: 1-514-558 6138
Http://www.cscanada.net
Http://www.cscanada.org
E-mail:caooc@hotmail.com

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures