Geodesic
Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we study the oscillatory behavior of solutions to even-order nonlinear neutral difference equations of the form

$ \Delta^m_\tau( x(t)-px(t-r))+f(t,x(g(t)))=0. $

Using an integral transformation, the Riccati transformation, and iteration, we obtain sufficient conditions for all solutions to be oscillatory. Examples are also given to illustrate the obtained criteria.
Classification : 39A10, 39A21
Keywords: neutral difference equations, oscillation, continuous variable 
@article{EJDE_2015__2015__a79,
     author = {Wu,  Shuhui and Calay,  Pargat Singh and Hou,  Zhanyuan},
     title = {Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1321.39016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a79/}
}
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Wu,  Shuhui; Calay,  Pargat Singh; Hou,  Zhanyuan. Oscillation criteria for even-order nonlinear neutral difference equations with continuous variables. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a79/