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

Zhiyu Zhang, Ruihua Feng, Irena Jadlovská and Qingmin Liu
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Zhiyu Zhang: Department of Mathematics, Taiyuan Institute of Technology, Taiyuan 030008, China
Ruihua Feng: Department of Mathematics, North University of China, Taiyuan 030051, China
Irena Jadlovská: Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, 040 01 Košice, Slovakia
Qingmin Liu: School of Control Science and Engineering, Shandong University, Jinan 250061, China

Mathematics, 2021, vol. 9, issue 5, 1-18

Abstract: 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.

Keywords: time scale; oscillation criterion; third-order neutral dynamic equation; mixed deviating argument; mixed canonical-noncanonical condition; double Riccati transformation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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