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 Asymptotic Properties of Third-Order Delay Trinomial Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
J. Džurina ◽  
R. Komariková
Keyword(s):  
Differential Equation ◽  
Asymptotic Behavior ◽  
Differential Equations ◽  
Asymptotic Properties ◽  
Comparison Theorems ◽  
Asymptotic Behavior Of Solutions ◽  
Third Order ◽  
The Third

The aim of this paper is to study properties of the third-order delay trinomial differential equation((1/r(t))y′′(t))′+p(t)y′(t)+q(t)y(σ(t))=0, by transforming this equation onto the second-/third-order binomial differential equation. Using suitable comparison theorems, we establish new results on asymptotic behavior of solutions of the studied equations. Obtained criteria improve and generalize earlier ones.

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→∞.

scholarly journals On nonoscillatory solutions tending to zero of third-order nonlinear differential equations

2011 ◽  
Vol 48 (1) ◽  
pp. 135-143 ◽  
Author(s):  
Ivan Mojsej ◽  
Alena Tartal’ová
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Nonlinear Differential Equations ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Asymptotic Behavior Of Solutions ◽  
Third Order ◽  
Nonoscillatory Solutions ◽  
The Third ◽  
Necessary And Sufficient

Abstract The aim of this paper is to present some results concerning with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. In particular, we state the necessary and sufficient conditions ensuring the existence of nonoscillatory solutions tending to zero as t → ∞.

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 Oscillation theorems for third order neutral differential equations

2012 ◽  
Vol 28 (2) ◽  
pp. 199-206
Author(s):  
BLANKA BACULIKOVA ◽  
◽  
J. DZURINA ◽  
Keyword(s):  
Differential Equations ◽  
Asymptotic Properties ◽  
Order Equation ◽  
Comparison Theorems ◽  
Third Order ◽  
Comparison Principles ◽  
Neutral Differential Equations ◽  
First Order ◽  
The Third ◽  
Oscillation Theorems

The aim of this paper is to study the asymptotic properties and the oscillation of the third order neutral differential equations ... Obtained results are based on the new comparison theorems, that permit to reduce the problem of the oscillation of the third order equation to the oscillation of the couple of the first order equation. Obtained comparison principles essentially simplify the examination of the studied equations.

scholarly journals Boundedness and oscillation of third order neutral differential equations

2009 ◽  
Vol 43 (1) ◽  
pp. 137-144 ◽  
Author(s):  
Božena Mihalíková ◽  
Eva Kostiková
Keyword(s):  
Differential Equations ◽  
Third Order ◽  
Neutral Differential Equations ◽  
The Third ◽  
The Relationship ◽  
Oscillation Of Solutions

Abstract The relationship between boundedness and oscillation of solutions of the third order neutral differential equations are presented.

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