Geodesic
Oscillation criteria for delay difference equations
Electronic Journal of Differential Equations, Tome 2001 (2001).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a117,
     author = {Shen, Jianhua and Stavroulakis, I.P.},
     title = {Oscillation criteria for delay difference equations},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2001},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a117/}
}
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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__a117/