December 2020 Oscillation and nonoscillation criteria for four-dimensional advanced and delay time-scale systems
Elvan Akın, Gülşah Yeni
Rocky Mountain J. Math. 50(6): 1923-1934 (December 2020). DOI: 10.1216/rmj.2020.50.1923

Abstract

We obtain oscillation and nonoscillation criteria for solutions to four-dimensional advanced and delay systems of first-order dynamic equations on time scales. To establish oscillation criteria, we eliminate nonoscillatory solutions of the systems based on the sign of components of the solutions. Furthermore, some of our results are new in the discrete case.

Citation

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Elvan Akın. Gülşah Yeni. "Oscillation and nonoscillation criteria for four-dimensional advanced and delay time-scale systems." Rocky Mountain J. Math. 50 (6) 1923 - 1934, December 2020. https://doi.org/10.1216/rmj.2020.50.1923

Information

Received: 22 March 2020; Revised: 27 May 2020; Accepted: 27 May 2020; Published: December 2020
First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/rmj.2020.50.1923

Subjects:
Primary: 34N05
Secondary: 34C10

Keywords: advanced and delay , four-dimensional systems , nonoscillation , ‎oscillation‎ , Time scales

Rights: Copyright © 2020 Rocky Mountain Mathematics Consortium

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Vol.50 • No. 6 • December 2020
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