We establish some properties of iterations of the remainder operator which assigns to any
convergent series the sequence of its remainders. Moreover, we introduce the spaces of …

We present a new approach to the theory of asymptotic properties of solutions of difference
equations. Usually, two sequences $ x, y $ are called asymptotically equivalent if the …

We consider the nonlinear discrete Volterra equations of non-convolution type [formula] We
present sufficient conditions for the existence of solutions with prescribed asymptotic …

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) …

ASYMPTOTICALLY ZERO SOLUTION OF A CLASS OF HIGHER NONLINEAR NEUTRAL
DIFFERENCE EQUATIONS WITH QUASIDIFFERENCES Ewa Schmeidel Rob Page 1 …

The first-order nonlinear difference equations of neutral type where δ=±1, N (n0)={n0, n0+
1,}, p, qj: N (n0)→ R+, τ, σj: N (n0)→ N, and limn→∞ τ (n)= limn→∞ σj (n)=∞, ƒj: R→ R, j= 1 …

BOUNDED SOLUTIONS OF NONLINEAR DISCRETE VOLTERRA EQUATIONS 1.
Introduction Page 1 ÓDOI: 10.1515/ms-2016-0212 Math. Slovaca 66 (2016), No. 5, 1169–1178 …

Asymptotic properties of solutions to difference equation of the form Δ m (x n+ unx n+ k)= anf
(n, x σ (n))+ bn are studied. We give sufficient conditions under which all solutions, or all …