scholarly journals Asymptotic behavior of solutions of impulsive neutral differential equations

1999 ◽  
Vol 12 (7) ◽  
pp. 51-58 ◽  
Author(s):  
X. Liu ◽  
J. Shen
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Neutral Differential Equations ◽  
Impulsive 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

Oscillation results for higher order nonlinear neutral differential equations with positive and negative coefficients

2015 ◽  
Vol 21 (2) ◽  
Author(s):  
Saroj Panigrahi ◽  
Rakhee Basu
Keyword(s):  
Fixed Point ◽  
Asymptotic Behavior ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Asymptotic Behavior Of Solutions ◽  
Banach Fixed Point Theorem ◽  
Neutral Differential Equations ◽  
Positive And Negative Coefficients

AbstractIn this paper, the authors investigated oscillatory and asymptotic behavior of solutions of a class of nonlinear higher order neutral differential equations with positive and negative coefficients. The results in this paper generalize the results of Tripathy, Panigrahi and Basu [Fasc. Math. 52 (2014), 155–174]. We establish new conditions which guarantees that every solution either oscillatory or converges to zero. Moreover, using the Banach Fixed Point Theorem sufficient conditions are obtained for the existence of bounded positive solutions. Examples are considered to illustrate the main results.

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.

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