Geodesic
Oscillation criteria for delay difference equations
Electronic journal of differential equations, Tome 2001 (2001)
Zbl   EuDML
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 
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/
@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/}
}
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