AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (235.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Oscillation criterion of Kneser type for half-linear second-order dynamic equations with deviating arguments

Taher S. Hassan1,2,3( ), Amir Abdel Menaem4, Yousef Jawarneh1, Naveed Iqbal1, Akbar Ali1
Department of Mathematics, College of Science, University of Ha'il, Ha'il 2440, Saudi Arabia
Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, Roma 00186, Italy
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia
Show Author Information

Abstract

This paper employed the well-known Riccati transformation method to deduce a Kneser-type oscillation criterion for second-order dynamic equations. These results are considered an extension and improvement of the known Kneser results for second-order differential equations and are new for other time scales. We have included examples to highlight the significance of the results we achieved.

Keywords

Kneser-typeoscillationsecond-orderhalf-lineardynamic equationtime scales
CLC number: 39A10, 39A99, 34N05, 34K11

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 19446-19458
DOI: 10.3934/math.2024947

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Hassan TS, Menaem AA, Jawarneh Y, et al. Oscillation criterion of Kneser type for half-linear second-order dynamic equations with deviating arguments. AIMS Mathematics, 2024, 9(7): 19446-19458. https://doi.org/10.3934/math.2024947

126

Views

0

Downloads

7

Crossref

8

Web of Science

7

Scopus
Received: 18 April 2024
Revised: 28 May 2024
Accepted: 05 June 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)