This paper studies the global existence of solutions of the second order nonlinear neutral
delay difference equation with respect to all b∈ R. A few results on global existence of …

Oscillatory and asymptotic properties of solutions of even order neutral difference equations
Page 1 Oscillatory and asymptotic properties of solutions of even order neutral difference …

Asymptotic properties of solutions to difference equations of the form Δ m (xn− unxn− k)= anf
(xn)+ bn are studied. Replacing the sequence u by its limit and the right side of the equation …

Abstract top Asymptotic properties of solutions of difference equation of the form Δ mxn= an
ϕ n (x σ (n))+ bn are studied. Conditions under which every (every bounded) solution of the …

Asymptotic properties of solutions of a difference equation of the form Δ mxn= anf (n, x σ
(n))+ bn are studied. We present sufficient conditions under which, for any polynomial φ (n) …

A (Xn-PXn-r)=(in ma X Xs> Ti-= 0, 1, 2,...,(1) sE [n—cr, nj where p GM, r is a positive integer,
a is a nonnegative integer,{gn} n_0 is a nonnegative sequence and not identical wTith the …

This paper studies the following third order neutral delay discrete equation Δ (an Δ 2 (xn+
pnxn-τ))+ f (n, xn-d 1 n,…, xn-dln)= gn, n≥ n 0, where τ, l∈ ℕ, n0∈ ℕ∪{0},{an} n∈ ℕ n …

The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay
difference equation,, where,,, and are integers, and are real sequences,, and is a mapping …

The purpose of this paper is to investigate a nonlinear second-order neutral difference
equation of the form Δ (rn Δ (xn+ pnxn− k))+ anf (xn)= 0, where x: N 0→ R, a: N 0→ R, p, r: N …

A class of fourth--order neutral type difference equations with quasidifferences and deviating
arguments is considered. Our approach is based on studying the considered equation as a …