On the monotonic properties and oscillatory behavior of solutions of neutral differential equations

Masood Fahd; Moaaz Osama; Santra Shyam S.; Fernandez-Gamiz Unai; El-Metwally Hamdy

doi:10.1515/dema-2023-0123

Demonstratio Mathematica (Dec 2023)

On the monotonic properties and oscillatory behavior of solutions of neutral differential equations

Masood Fahd,
Moaaz Osama,
Santra Shyam S.,
Fernandez-Gamiz Unai,
El-Metwally Hamdy

Affiliations

Masood Fahd: Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Moaaz Osama: Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt
Santra Shyam S.: Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India
Fernandez-Gamiz Unai: Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Vitoria-Gasteiz, Spain
El-Metwally Hamdy: Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt

DOI: https://doi.org/10.1515/dema-2023-0123
Journal volume & issue: Vol. 56, no. 1
pp. 787 – 794

Abstract

Read online

In this work, we study new asymptotic properties of positive solutions of the even-order neutral differential equation with the noncanonical operator. The new properties are iterative, which means they can be used several times. We also use these properties to obtain new criteria for oscillation of the studied equation.

Published in Demonstratio Mathematica

ISSN: 2391-4661 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/dema/html

About the journal

Abstract

Keywords