Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order

Taher S. Hassan, Yuangong Sun and Amir Abdel Menaem
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Taher S. Hassan: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Yuangong Sun: School of Mathematical Sciences, University of Jinan, Jinan 250022, China
Amir Abdel Menaem: Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia

Mathematics, 2020, vol. 8, issue 11, 1-19

Abstract: In this paper, the functional dynamic equation of second order is studied on an arbitrary time scale under milder restrictions without the assumed conditions in the recent literature. The Nehari, Hille, and Ohriska type oscillation criteria of the equation are investigated. The presented results confirm that the study of the equation in this formula is superior to other previous studies. Some examples are addressed to demonstrate the finding.

Keywords: time scales; functional dynamic equations; second order; oscillation criteria (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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