Oscillation criteria for higher order quasilinear dynamic equations with Laplacians and a deviating argument

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[n−1])Δ(t)+p(t)ϕγ(x(g(t)))=0 on an above-unbounded time scale, where n ≥ 2, x[i](t):=ri(t)ϕαi[(x[i−1])Δ(t)],i=1,2,…,n−1,withx[0]=x....

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Bibliographic Details
Main Author: Taher S. Hassan
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X16300633