Affiliation:
1. Department of Mathematics, Faculty of Sciences, Erciyes University, 38039 Kayseri, Turkey
Abstract
The oscillation of solutions of the second-order nonlinear dynamic equation(r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t))γ+f(t,x(g(t)))=0, with damping on an arbitrary time scaleT, is investigated. The generalized Riccati transformation is applied for the study of the Kamenev-type oscillation criteria for this nonlinear dynamic equation. Several new sufficient conditions for oscillatory solutions of this equation are obtained.
Funder
Research Fund of the Erciyes University
Subject
Applied Mathematics,Analysis
Cited by
20 articles.
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