In this paper, some new results are obtained for the even order neutral delay difference equation ΔanΔm-1xn+pnxn-kα+qnxn-lβ=0, where m≥2 is an even integer, which ensure that all solutions of the studied equation are oscillatory. Our results extend, include, and correct some of the existing results. Examples are provided to illustrate the importance of the main results
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neu...
AbstractIn this work, some sufficient conditions are obtained for oscillation of all solutions of th...
AbstractIn this paper, we establish some oscillation criteria of the second-order delay difference e...
In this note, some oscillatory results for neutral difference equations are ob-tained. Recently, Tan...
AbstractIn this work, we shall consider higher order nonlinear neutral delay difference equation of ...
AbstractIn this paper, we consider the neutral delay difference equation δ(yn−PnYn−k)+qnYn−ℓ=0, n=0,...
AbstractFirst, we prove that the following even-order neutral superlinear delay difference equation ...
We find necessary conditions for every solution of the neutral delay difference equation Δ(rnΔ(yn − ...
AbstractFor the difference equation ▵(pn▵(yn+hnyn−k))+qn+1f(yn+1−e)=0, nϵZ={0,1,…}, the existence of...
In this paper, we shall consider higher order nonlinear delay difference equation of the type ∆mxn +...
In this paper we are concerned with the oscillation of solutions of higher-order sublinear neutral t...
We obtain necessary and sufficient conditions so that every solution of neutral delay difference equ...
Sufficient conditions are established for the oscillation of all solutions of first order neutral de...
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neu...
AbstractConsider the delay difference equationχn+1−χn+pnχn−k=0, n-0,1,2,…where {pn} is a sequence of...
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neu...
AbstractIn this work, some sufficient conditions are obtained for oscillation of all solutions of th...
AbstractIn this paper, we establish some oscillation criteria of the second-order delay difference e...
In this note, some oscillatory results for neutral difference equations are ob-tained. Recently, Tan...
AbstractIn this work, we shall consider higher order nonlinear neutral delay difference equation of ...
AbstractIn this paper, we consider the neutral delay difference equation δ(yn−PnYn−k)+qnYn−ℓ=0, n=0,...
AbstractFirst, we prove that the following even-order neutral superlinear delay difference equation ...
We find necessary conditions for every solution of the neutral delay difference equation Δ(rnΔ(yn − ...
AbstractFor the difference equation ▵(pn▵(yn+hnyn−k))+qn+1f(yn+1−e)=0, nϵZ={0,1,…}, the existence of...
In this paper, we shall consider higher order nonlinear delay difference equation of the type ∆mxn +...
In this paper we are concerned with the oscillation of solutions of higher-order sublinear neutral t...
We obtain necessary and sufficient conditions so that every solution of neutral delay difference equ...
Sufficient conditions are established for the oscillation of all solutions of first order neutral de...
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neu...
AbstractConsider the delay difference equationχn+1−χn+pnχn−k=0, n-0,1,2,…where {pn} is a sequence of...
In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neu...
AbstractIn this work, some sufficient conditions are obtained for oscillation of all solutions of th...
AbstractIn this paper, we establish some oscillation criteria of the second-order delay difference e...