scholarly journals On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations

2020 ◽  
Vol 105 ◽  
pp. 106293 ◽  
Author(s):  
Tongxing Li ◽  
Yuriy V. Rogovchenko
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Third Order ◽  
Neutral Differential Equations

Oscillation results for third order nonlinear mixed neutral differential equations

2016 ◽  
Vol 66 (4) ◽  
Author(s):  
S. Panigrahi ◽  
R. Basu
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Third Order ◽  
Neutral Differential Equations ◽  
Positive And Negative Coefficients

AbstractIn this paper, the authors study oscillatory and asymptotic behavior of solutions of a class of nonlinear third order neutral differential equations with positive and negative coefficients of the form

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

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1287
Author(s):  
Omar Bazighifan ◽  
Fatemah Mofarreh ◽  
Kamsing Nonlaopon
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Qualitative Behavior ◽  
Third Order ◽  
Neutral Differential Equations ◽  
Neutral Term ◽  
The Subject ◽  
Oscillation Of Solutions

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.

scholarly journals Asymptotic Behavior of Solutions of the Third Order Nonlinear Mixed Type Neutral Differential Equations

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 485 ◽  
Author(s):  
Osama Moaaz ◽  
Dimplekumar Chalishajar ◽  
Omar Bazighifan
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Mixed Type ◽  
Asymptotic Properties ◽  
Asymptotic Behavior Of Solutions ◽  
Third Order ◽  
Neutral Differential Equations ◽  
The Third ◽  
Delayed Arguments ◽  
Advanced And Delayed Arguments

The objective of our paper is to study asymptotic properties of the class of third order neutral differential equations with advanced and delayed arguments. Our results supplement and improve some known results obtained in the literature. An illustrative example is provided.

scholarly journals On the asymptotic behavior of solutions of certain third-order nonlinear differential equations

2005 ◽  
Vol 2005 (1) ◽  
pp. 29-35 ◽  
Author(s):  
Cemil Tunç
Keyword(s):  
Differential Equation ◽  
Asymptotic Behavior ◽  
Differential Equations ◽  
Nonlinear Differential Equation ◽  
Nonlinear Differential Equations ◽  
Sufficient Conditions ◽  
Asymptotic Behavior Of Solutions ◽  
Third Order ◽  
The Third ◽  
All Solutions

We establish sufficient conditions under which all solutions of the third-order nonlinear differential equation x ⃛+ψ(x,x˙,x¨)x¨+f(x,x˙)=p(t,x,x˙,x¨) are bounded and converge to zero as t→∞.

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