An Improved Criterion for the Oscillation of Fourth-Order Differential Equations

Omar Bazighifan, Marianna Ruggieri and Andrea Scapellato
Additional contact information
Omar Bazighifan: Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout 50512, Yemen
Marianna Ruggieri: Faculty of Engineering and Architecture, University of Enna “Kore”, 94100 Enna, Italy
Andrea Scapellato: Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy

Mathematics, 2020, vol. 8, issue 4, 1-11

Abstract: The main purpose of this manuscript is to show asymptotic properties of a class of differential equations with variable coefficients r ν w ? ν β ′ + ∑ i = 1 j q i ν y κ g i ν = 0 , where ν ≥ ν 0 and w ν : = y ν + p ν y σ ν . By using integral averaging technique, we get conditions to ensure oscillation of solutions of this equation. The obtained results improve and generalize the earlier ones; finally an example is given to illustrate the criteria.

Keywords: fourth-order differential equations; neutral delay; oscillation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/4/610/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/4/610/ (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:8:y:2020:i:4:p:610-:d:346234

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 ().