Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales

Under a couple of canonical and mixed canonical-noncanonical conditions, we investigate the oscillation and asymptotic behavior of solutions to a class of third-order nonlinear neutral dynamic equations with mixed deviating arguments on time scales. By means of the double Riccati transformation and...

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Veröffentlicht in:	Mathematics (Basel) 2021-03, Vol.9 (5), p.552, Article 552
Hauptverfasser:	Zhang, Zhiyu, Feng, Ruihua, Jadlovska, Irena, Liu, Qingmin
Format:	Artikel
Sprache:	eng
Schlagworte:	double Riccati transformation Mathematics mixed canonical-noncanonical condition mixed deviating argument oscillation criterion Physical Sciences Science & Technology third-order neutral dynamic equation time scale
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creator	Zhang, Zhiyu Feng, Ruihua Jadlovska, Irena Liu, Qingmin
description	Under a couple of canonical and mixed canonical-noncanonical conditions, we investigate the oscillation and asymptotic behavior of solutions to a class of third-order nonlinear neutral dynamic equations with mixed deviating arguments on time scales. By means of the double Riccati transformation and the inequality technique, new oscillation criteria are established, which improve and generalize related results in the literature. Several examples are given to illustrate the main results.
doi_str_mv	10.3390/math9050552
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subjects	double Riccati transformation Mathematics mixed canonical-noncanonical condition mixed deviating argument oscillation criterion Physical Sciences Science & Technology third-order neutral dynamic equation time scale
title	Oscillation Criteria for Third-Order Nonlinear Neutral Dynamic Equations with Mixed Deviating Arguments on Time Scales
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