Authors: Özkan Öcalan; Umut Mutlu Özkan
Addresses: Department of Mathematics, Faculty of Science, Akdeniz University, Antalya 07058, Turkey ' Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, ANS Campus, Afyonkarahisar 03200, Turkey
Abstract: In this paper, we investigated the oscillatory behaviour of solutions of advanced dynamic equations on time scales. Under the assumption that the τ is non-monotone or nondecreasing, we present new sufficient conditions for the oscillation of first-order delay dynamic equations on time scales. An example illustrating the result is also given.
Keywords: advanced argument; dynamic equations; non-monotone argument; oscillatory solutions; time scales; oscillations.
International Journal of Dynamical Systems and Differential Equations, 2016 Vol.6 No.4, pp.275 - 284
Received: 22 Jan 2016
Accepted: 02 May 2016
Published online: 25 Jan 2017 *