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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 253107, 18 pages
doi:10.1155/2012/253107
Kamenev-Type Oscillation Criteria for the Second-Order Nonlinear Dynamic Equations with Damping on Time Scales
Department of Mathematics, Faculty of Sciences, Erciyes University, 38039 Kayseri, Turkey
Received 6 March 2012; Accepted 22 March 2012
Academic Editor: Allaberen Ashyralyev
Copyright © 2012 M. Tamer Şenel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The oscillation of solutions of the second-order nonlinear dynamic equation , with damping on an arbitrary time scale , 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.