scholarly journals Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients

2002 ◽  
Vol 15 (7) ◽  
pp. 785-791 ◽  
Author(s):  
Yong Zhou
Keyword(s):  
Difference Equations ◽  
Higher Order ◽  
Nonoscillatory Solutions ◽  
Neutral Difference Equations

scholarly journals Asymptotic Behavior of Higher Order Quasilinear Neutral Difference Equations

2016 ◽  
Vol 8 (6) ◽  
pp. 148
Author(s):  
V. Sadhasivam ◽  
Pon. Sundar ◽  
A. Santhi
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Higher Order ◽  
Asymptotic Behavior Of Solutions ◽  
Functional Difference ◽  
Order Difference ◽  
Neutral Difference Equations ◽  
Odd Order ◽  
Functional Difference Equations

We study, the asymptotic behavior of solutions to a class of higher order quasilinear neutral difference equations under the assumptions that allow applications to even and odd-order difference equations with delayed and advanced arguments, as well as to functional difference equations with more complex arguments that may for instance, alternate infinitely between delayed and advanced types. New theorems extend a number of results reported in the literature. Illustrative examples are presented.

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