New oscillatory results for non-linear delay dynamic equations with super-linear neutral term

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New oscillatory results for non-linear delay dynamic equations with super-linear neutral term

Year : 2022

Publisher : Elsevier Inc.

Source Title : Applied Mathematics and Computation

Document Type :

Abstract

A new approach is introduced for the oscillatory solutions of the second order non-linear delay dynamic equations on time scale with a super-linear neutral term. The result are obtained through various integral and differential relations. The Kamenev and Philos-type criteria for oscillation are also discussed. The results improve and extend the ones reported in the literature in the sense that the inequalities are easy to verify and results cover various kinds of equations by choosing different time scales. Examples for particular time scales are given for illustration.