On the Asymptotic Behavior of Noncanonical Third-Order Emden–Fowler Delay Differential Equations with a Superlinear Neutral Term

Qingmin Liu, Said R. Grace, Irena Jadlovská, Ercan Tunç and Tongxing Li ()
Additional contact information
Qingmin Liu: School of Control Science and Engineering, Shandong University, Jinan 250061, China
Said R. Grace: Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt
Irena Jadlovská: Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 040 01 Košice, Slovakia
Ercan Tunç: Department of Mathematics, Faculty of Arts and Sciences, Gaziosmanpasa University, 60240 Tokat, Turkey
Tongxing Li: School of Control Science and Engineering, Shandong University, Jinan 250061, China

Mathematics, 2022, vol. 10, issue 16, 1-12

Abstract: The present paper is concerned with the asymptotic behavior of solutions to a class of noncanonical third-order Emden–Fowler delay differential equations with a superlinear neutral term. Using a Riccati-type transformation as well as integral criteria, we establish some new sufficient conditions guaranteeing that every solution of the equation considered either oscillates or converges to zero asymptotically. The results are illustrated with two examples.

Keywords: oscillation; asymptotic behavior; third-order; noncanonical Emden–Fowler differential equation; superlinear neutral term; delayed argument (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/16/2902/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/16/2902/ (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:16:p:2902-:d:886923

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 ().