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.

Asymptotic behavior of solutions of linear homogeneous second-order difference equations

1999 ◽  
Vol 66 (2) ◽  
pp. 167-170
Author(s):  
A. D. Kozak ◽  
O. N. Novoselov
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Order Difference

scholarly journals Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Janusz Migda ◽  
Małgorzata Migda ◽  
Magdalena Nockowska-Rosiak
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Existence Of Solutions ◽  
Asymptotic Properties ◽  
Sufficient Conditions ◽  
Type Equation ◽  
Asymptotic Behavior Of Solutions ◽  
Volterra Type ◽  
Order Difference ◽  
Prescribed Asymptotic Behavior

We consider the discrete Volterra type equation of the form Δ(rnΔxn)=bn+∑k=1nK(n,k)f(xk). We present sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we study the asymptotic behavior of solutions. We use o(ns), for given nonpositive real s, as a measure of approximation.

scholarly journals The asymptotic behavior of solutions of nonlinear second-order difference equations

2001 ◽  
Vol 14 (5) ◽  
pp. 611-616 ◽  
Author(s):  
E. Thandapani ◽  
S.L. Marian
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Second Order ◽  
Asymptotic Behavior Of Solutions ◽  
Order Difference
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