scholarly journals New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms

Entropy ◽  
2021 ◽  
Vol 23 (2) ◽  
pp. 227
Author(s):  
Said R. Grace ◽  
Jehad Alzabut ◽  
Abdullah Özbekler
Keyword(s):  
Asymptotic Behavior ◽  
Nonlinear Dynamic ◽  
Sufficient Conditions ◽  
Dynamic Equations ◽  
Third Order ◽  
New Approach ◽  
Nonlinear Dynamic Equations ◽  
New Type ◽  
New Criteria

In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples.

scholarly journals Oscillatory and Asymptotic Properties on a Class of Third Nonlinear Dynamic Equations with Damping Term on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-17
Author(s):  
Qinghua Feng ◽  
Huizeng Qin
Keyword(s):  
Time Scales ◽  
Nonlinear Dynamic ◽  
Asymptotic Properties ◽  
The Other ◽  
Dynamic Equations ◽  
Damping Term ◽  
Third Order ◽  
Discrete Analysis ◽  
Other Hand ◽  
Nonlinear Dynamic Equations

We establish some new oscillatory and asymptotic criteria for a class of third-order nonlinear dynamic equations with damping term on time scales. The established results on one hand extend some known results in the literature on the other hand unify continuous and discrete analysis. For illustrating the validity of the established results, we also present some applications for them.

On the oscillation of certain third order nonlinear dynamic equations with a nonlinear damping term

2017 ◽  
Vol 67 (2) ◽  
Author(s):  
Said R. Grace ◽  
John R. Graef ◽  
Ercan Tunç
Keyword(s):  
Nonlinear Dynamic ◽  
Nonlinear Damping ◽  
Dynamic Equations ◽  
Damping Term ◽  
Third Order ◽  
Oscillation Criteria ◽  
Nonlinear Dynamic Equations

AbstractNew oscillation criteria for certain third order nonlinear dynamic equations with a nonlinear damping term are established. Examples to illustrate the results are included.

scholarly journals Oscillation Criteria for Nonlinear Third-Order Neutral Dynamic Equations with Damping on Time Scales

2017 ◽  
Vol 2017 ◽  
pp. 1-8
Author(s):  
Yang-Cong Qiu ◽  
Akbar Zada ◽  
Haiyong Qin ◽  
Tongxing Li
Keyword(s):  
Time Scales ◽  
Nonlinear Dynamic ◽  
Dynamic Equations ◽  
Riccati Transformation ◽  
Damping Term ◽  
Third Order ◽  
Oscillation Criteria ◽  
Nonlinear Dynamic Equations ◽  
Neutral Dynamic Equations

We establish several oscillation criteria for a class of third-order nonlinear dynamic equations with a damping term and a nonpositive neutral coefficient by using the Riccati transformation. Two illustrative examples are presented to show the significance of the results obtained.

scholarly journals Oscillation Criteria for Third Order Neutral Nonlinear Dynamic Equations with Distributed Deviating Arguments on Time Scales

2014 ◽  
Vol 61 (1) ◽  
pp. 141-161 ◽  
Author(s):  
Taher S. Hassan ◽  
Said R. Grace
Keyword(s):  
Time Scales ◽  
Nonlinear Dynamic ◽  
Dynamic Equations ◽  
Third Order ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Distributed Deviating Arguments ◽  
Nonlinear Dynamic Equations

Abstract Some new oscillation criteria for third order neutral nonlinear dynamic equations with distributed deviating arguments on time scales are established. The obtained results extend, improve and correlate many known oscillation results for third order dynamic equations

Sign in / Sign up

Export Citation Format

Share Document