Oscillation Theorems for Nonlinear Second-Order Delay Differential Equations with Some Sublinear Neutral Terms Via Canonical Transform

George E. Chatzarakis; Rajasekar Deepalakshmi; Sivagandhi Saravanan; Ethiraju Thandapani

doi:10.2478/tmmp-2023-0035

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Oscillation Theorems for Nonlinear Second-Order Delay Differential Equations with Some Sublinear Neutral Terms Via Canonical Transform

Tatra Mountains Mathematical Publications

Volume 88 (2024): Issue 3 (December 2024)

By: George E. Chatzarakis, Rajasekar Deepalakshmi, Sivagandhi Saravanan and Ethiraju Thandapani

Open Access

|Feb 2025

Abstract

New sufficient conditions for oscillation of a second-order nonlinear differential equation with some sublinear neutral terms are established via canonical transform and integral averaging method. Examples are provided to illustrate the significance and novelty of the presented results.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0035 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 45 - 58

Submitted on: Dec 8, 2022

Accepted on: Jul 3, 2023

Published on: Feb 28, 2025

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

second-order,

oscillation,

sublinear neutral terms,

canonical transform

Related subjects:

Mathematics,

General mathematics

© 2025 George E. Chatzarakis, Rajasekar Deepalakshmi, Sivagandhi Saravanan, Ethiraju Thandapani, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 88 (2024): Issue 3 (December 2024)