Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6898982 | Journal of the Egyptian Mathematical Society | 2017 | 8 Pages |
Abstract
In this paper, we deal with the oscillation of the solutions of the higher order quasilinear dynamic equation with Laplacians and a deviating argument in the form of
(x[nâ1])Î(t)+p(t)Ïγ(x(g(t)))=0on an above-unbounded time scale, where n ⥠2,
x[i](t):=ri(t)Ïαi[(x[iâ1])Î(t)],i=1,2,â¦,nâ1,withx[0]=x.By using a generalized Riccati transformation and integral averaging technique, we establish some new oscillation criteria for the cases when n is even and odd, and when α > γ, α=γ, and α < γ, respectively, with α=α1â¯Î±nâ1 and without any restrictions on the time scale.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Taher S. Hassan,