Improved Kneser-type oscillation criterion for half-linear dynamic equations on time scales

Taher S. Hassan; Amir Abdel Menaem; Hasan Nihal Zaidi; Khalid Alenzi; Bassant M. El-Matary

doi:10.3934/math.20241426

AIMS Mathematics (Oct 2024)

Improved Kneser-type oscillation criterion for half-linear dynamic equations on time scales

Taher S. Hassan,
Amir Abdel Menaem ,
Hasan Nihal Zaidi,
Khalid Alenzi,
Bassant M. El-Matary

Affiliations

Taher S. Hassan: 1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Amir Abdel Menaem: 2. Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia 3. Electrical Engineering Department, Mansoura University, Mansoura 35516, Egypt
Hasan Nihal Zaidi: 1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Khalid Alenzi: 1. Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Bassant M. El-Matary: 4. Department of Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia

DOI: https://doi.org/10.3934/math.20241426
Journal volume & issue: Vol. 9, no. 10
pp. 29425 – 29438

Abstract

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We study the Kneser-type oscillation criterion for a class of second-order half-linear functional dynamic equations on an arbitrary time scale utilizing the integral averaging approach and the Riccati transformation method. The results show an improvement in Kneser-type when compared to some known results. We provide some illustrative examples to demonstrate the significance of our main results.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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