TY  - JOUR
ID  - Migda2006
LB  - Migda2006
AU  - Migda, Małgorzata
TI  - Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
ST  - Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2006
VL  - 26
IS  - 3
SP  - 507
EP  - 514
DO  - http://dx.doi.org/10.7494/OpMath.2006.26.3.507
UR  - http://dx.doi.org/10.7494/OpMath.2006.26.3.507
AB  - In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above equation have the property \(x_n = cn^{m-1}+o(n^{m-1})\) for some \(c\in R\).
KW  - neutral difference equation
KW  - asymptotic behavior
KW  - nonoscillatory solution
SN  - 1232-9274
ER  -