scholarly journals Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients

2003 ◽  
Vol 279 (1) ◽  
pp. 326-338 ◽  
Author(s):  
Xiaoping Wang ◽  
Liusheng Liao
2016 ◽  
Vol 66 (4) ◽  
Author(s):  
S. Panigrahi ◽  
R. Basu

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


2015 ◽  
Vol 21 (2) ◽  
Author(s):  
Saroj Panigrahi ◽  
Rakhee Basu

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.


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