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Oscillation Criteria for Second Order Nonlinear Dynamic Equations with p-Laplacian and Damping
Authors:Taher S. HASSAN  Qingkai KONG
Affiliation:1. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt;2. Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA
Abstract:This paper concerns the oscillation of solutions of the second order nonlinear dynamic equation with p-Laplacian and damping
(r(t)φα(x(t))) +p(t)φα(x△σ(t))  +q(t)f(xσ(t)) =0(r(t)φα(x(t)))+p(t)φα(xσ(t))+q(t)f(xσ(t))=0
on a time scale ? which is unbounded above. Sign changes are allowed for the coefficient functions r, p and q. Several examples are given to illustrate the main results.
Keywords:oscillation   dynamic equations   time scales
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