On the Oscillation of Even-Order Half-Linear Functional Difference Equations with Damping Term
2014 ◽
Vol 2014
◽
pp. 1-6
◽
Keyword(s):
We investigate the oscillatory behavior of solutions of themth order half-linear functional difference equations with damping term of the formΔ[pnQ(Δm-1yn)]+qnQ(Δm-1yn)+rnQ(yτn)=0,n≥n0, wheremis even andQ(s)=sα-2s,α>1is a fixed real number. Our main results are obtained via employing the generalized Riccati transformation. We provide two examples to illustrate the effectiveness of the proposed results.
2012 ◽
Vol 389
(2)
◽
pp. 1239-1250
◽
2013 ◽
Vol 66
(11)
◽
pp. 2295-2306
◽
2007 ◽
Vol 19
(4)
◽
pp. 361-382
◽
Keyword(s):
2020 ◽
Vol 26
(3)
◽
pp. 328-352
1997 ◽
Vol 30
(2)
◽
pp. 1153-1164
◽
2003 ◽
Vol 277
(1)
◽
pp. 324-341
◽