Title: Oscillation criteria for first order forced delay dynamic equations with maxima on time scales

Authors: H.A. Agwa; Heba A. Hassan; E. Magdy

Addresses: Faculty of Education, Department of Mathematics, Ain Shams University, Roxy, Cairo, 11341, Egypt ' Faculty of Education, Department of Mathematics, Ain Shams University, Roxy, Cairo, 11341, Egypt ' Faculty of Education, Department of Mathematics, Ain Shams University, Roxy, Cairo, 11341, Egypt

Abstract: In this work, we establish some new oscillation criteria for forced first order dynamic equations with maxima. Our results not only complement and generalise some existing results, but also can be applied to some oscillation problems that were not covered before. We also give some examples to illustrate our main results.

Keywords: oscillation; forced dynamic equations; time scales; maxima.

DOI: 10.1504/IJDSDE.2021.115180

International Journal of Dynamical Systems and Differential Equations, 2021 Vol.11 No.2, pp.160 - 173

Received: 15 Jun 2018
Accepted: 07 Jun 2019

Published online: 15 May 2021 *

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