Geodesic
Oscillation criteria for delay difference equations
Electronic journal of differential equations, Tome 2001 (2001)
This paper is concerned with the oscillation of all solutions of the delay difference equation

$ x_{n+1}-x_n+p_nx_{n-k}=0, \quad n=0,1,2,\dots $

where

$ \limsup_{n\to \infty}\sum_{i=0}^kp_{n-i} greater than 1 \quad{\rm and}\quad \liminf_{n\to \infty}\frac{1}{k}\sum_{i=1}^kp_{n-i} greater than \frac{k^k}{(k+1)^{k+1}} $

is satisfied.
Classification : 39A10
Keywords: oscillation, non-oscillation, delay difference equation 
@article{EJDE_2001__2001__a195,
     author = {Shen,  Jianhua and Stavroulakis,  I.P.},
     title = {Oscillation criteria for delay difference equations},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0964.39009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a195/}
}
TY  - JOUR
AU  - Shen,  Jianhua
AU  - Stavroulakis,  I.P.
TI  - Oscillation criteria for delay difference equations
JO  - Electronic journal of differential equations
PY  - 2001
VL  - 2001
UR  - http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a195/
LA  - en
ID  - EJDE_2001__2001__a195
ER  - 
%0 Journal Article
%A Shen,  Jianhua
%A Stavroulakis,  I.P.
%T Oscillation criteria for delay difference equations
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a195/
%G en
%F EJDE_2001__2001__a195
Shen,  Jianhua; Stavroulakis,  I.P. Oscillation criteria for delay difference equations. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a195/