New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications

Ali Muhib, Osama Moaaz, Clemente Cesarano, Shami A. M. Alsallami, Sayed Abdel-Khalek and Abd Elmotaleb A. M. A. Elamin
Additional contact information
Ali Muhib: Department of Mathematics, Faculty of Education—Al-Nadirah, Ibb University, Ibb P.O. Box 70270, Yemen
Osama Moaaz: Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi Arabia
Clemente Cesarano: Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Rome, Italy
Shami A. M. Alsallami: Department of Mathematical Sciences, College of Applied Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia
Sayed Abdel-Khalek: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Abd Elmotaleb A. M. A. Elamin: Department of Mathematics, College of Science and Humanity, Prince Sattam bin Abdulaziz University, Sulail 11942, Saudi Arabia

Mathematics, 2022, vol. 10, issue 10, 1-12

Abstract: In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive solutions of the studied equation. Moreover, we use these properties to provide new oscillation criteria of an iterative nature. We provide an example to support the significance of the results and compare them with the related previous work.

Keywords: oscillation criteria; higher-order; delay differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/10/1786/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/10/1786/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:10:p:1786-:d:822298

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().