New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation

Shyam Sundar Santra, Abhay Kumar Sethi, Osama Moaaz, Khaled Mohamed Khedher and Shao-Wen Yao
Additional contact information
Shyam Sundar Santra: Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
Abhay Kumar Sethi: Department of Mathematics, Sambalpur University, Sambalpur 768019, India
Osama Moaaz: Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Khaled Mohamed Khedher: Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
Shao-Wen Yao: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China

Mathematics, 2021, vol. 9, issue 10, 1-11

Abstract: In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form ( a ( ? ) ( ( v ( ? ) + b ( ? ) v ( ? ( ? ) ) ) ? ) ) ? + c ( ? ) G 1 ( v ( ? ( ? ) ) ) + d ( ? ) G 2 ( v ( ? ( ? ) ) ) = 0 under canonical and non-canonical operators, that is, ? ? 0 ? d ? a ( ? ) = ? and ? ? 0 ? d ? a ( ? ) < ? . We use the Riccati transformation to prove our main results. Furthermore, some examples are provided to show the effectiveness and feasibility of the main results.

Keywords: differential equations; second-order; neutral; delay; oscillation criteria (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/10/1111/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/10/1111/ (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:9:y:2021:i:10:p:1111-:d:554641

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 ().