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

Said R. Grace, Shekhar Singh Negi and Syed Abbas

Applied Mathematics and Computation, 2022, vol. 412, issue C

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.

Keywords: Oscillation; Super-linear neutral term; Dynamic equations (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006603

DOI: 10.1016/j.amc.2021.126576

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