scholarly journals OSCILLATION OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS AND MIXED ARGUMENTS

2013 ◽  
Vol 31 (1_2) ◽  
pp. 199-209
Author(s):  
Yuangong Sun ◽  
Zhi Liu
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Neutral Differential Equations ◽  
Positive And Negative Coefficients ◽  
Mixed Arguments

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.

Oscillation of Higher Order Delay Differential Equations of Neutral Type

2000 ◽  
Vol 7 (2) ◽  
pp. 347-353 ◽  
Author(s):  
Wei Nian Li
Keyword(s):  
Differential Equations ◽  
Delay Differential Equations ◽  
Neutral Type ◽  
Higher Order ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Delay Differential

Abstract The properties of solutions of higher order neutral differential equations with distributed type deviating arguments are obtained.

Sign in / Sign up

Export Citation Format

Share Document