Oscillation criteria for higher‐order nonlinear dynamic equations with Laplacians and a deviating argument on time scales |
| |
| Authors: | Taher S Hassan Qingkai Kong |
| |
| Institution: | 1. Department of Mathematics, Faculty of Science, University of Hail, Hail, Saudi Arabia;2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt;3. Department of Mathematics, Northern Illinois University, DeKalb, IL, USA |
| |
| Abstract: | In this paper, we study the n th‐order nonlinear dynamic equation with Laplacians and a deviating argument ![urn:x-wiley:mma:media:mma4283:mma4283-math-0001]( "urn:x-wiley:mma:media:mma4283:mma4283-math-0001") on an above‐unbounded time scale, where n ?2, ![urn:x-wiley:mma:media:mma4283:mma4283-math-0002]( "urn:x-wiley:mma:media:mma4283:mma4283-math-0002") New oscillation criteria are established for the cases when n is even and odd and when α > γ ,α = γ , and α < γ , respectively, with α = α 1?α n ? 1. Copyright © 2017 John Wiley & Sons, Ltd. |
| |
| Keywords: | asymptotic behavior oscillation higher order dynamic equations dynamic inequality time scales |
|
|
