<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The authors present some new criteria for the oscillation of second order nonlinear differential equations with mixed nonlinear neutral terms and mixed deviating arguments. The approach used is to linearize the equation under consideration and then to deduce the oscillation from that of the linear form. In so doing, the authors obtain new oscillation criteria via a comparison with the first order equations whose oscillatory behaviors are known. They illustrate their results with some examples.</p>
</abstract>

The authors present some new criteria for the oscillation of second order nonlinear differential equations with mixed nonlinear neutral terms and mixed deviating arguments. The approach used is to linearize the equation under consideration and then to deduce the oscillation from that of the linear form. In so doing, the authors obtain new oscillation criteria via a comparison with the first order equations whose oscillatory behaviors are known. They illustrate their results with some examples.

New Criteria on the Oscillatory Behaviour of Second Order Nonlinear Differential Equations with Mixed Neutral Terms

Department of Engineering Mathematics, Faculty of Engineering

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The authors present some new criteria for the oscillation of second order nonlinear differential equations with mixed nonlinear neutral terms and mixed...

New Criteria on the Oscillatory Behaviour of Second Order Nonlinear Differential Equations with Mixed Neutral Terms

Published Online: Dec 18, 2023

Page range: -

Received: Mar 03, 2023

Accepted: Jul 03, 2023

DOI: https://doi.org/10.2478/tmmp-2023-0034

Keywords
Oscillation, Second Order, Neutral, Mixed Arguments

© 2023 Said R. Grace et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New Criteria on the Oscillatory Behaviour of Second Order Nonlinear Differential Equations with Mixed Neutral Terms

Published Online: Dec 18, 2023

Page range: -

Received: Mar 03, 2023

Accepted: Jul 03, 2023

DOI: https://doi.org/10.2478/tmmp-2023-0034

KeywordsOscillation, Second Order, Neutral, Mixed Arguments

© 2023 Said R. Grace et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Oscillation, Second Order, Neutral, Mixed Arguments