On the Qualitative Behavior of Third-Order Differential Equations with a Neutral Term

Author:

Bazighifan OmarORCID,Mofarreh FatemahORCID,Nonlaopon KamsingORCID

Abstract

In this paper, we analyze the asymptotic behavior of solutions to a class of third-order neutral differential equations. Using different methods, we obtain some new results concerning the oscillation of this type of equation. Our new results complement related contributions to the subject. The symmetry plays a important and fundamental role in the study of oscillation of solutions to these equations. An example is presented in order to clarify the main results.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference23 articles.

1. Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations;Agarwal,2002

2. Oscillation Theory for Second Order Dynamic Equations;Agarwal,2003

3. Oscillation Theory for Neutral Differential Equations with Delay;Bainov,1991

4. Improved Conditions for Oscillation of Functional Nonlinear Differential Equations

5. On the oscillation of certain fourth-order differential equations with p-Laplacian like operator

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