SOME STABILITY CONDITIONS FOR SCALAR VOLTERRA DIFFERENCE EQUATIONS Leonid
Berezansky, Małgorzata Migda, and Ewa Schmeidel Page 1 Opuscula Math. 36, no. 4 (2016) …

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

A class of linear Volterra difference equations with infinite delay is considered. It is shown
that if the coefficient matrices are sufficiently small, then the Volterra difference equation is …

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 …

Qualitative approximation of solutions to discrete Volterra equations Page 1 Electronic Journal
of Qualitative Theory of Differential Equations 2018, No. 3, 1–27; https://doi.org/10.14232/ejqtde.2018.1.3 …

We consider the discrete Volterra type equation of the form Δ (rn Δ xn)= bn+∑ k= 1 n K (n, k)
f (xk). We present sufficient conditions for the existence of solutions with prescribed …

In this paper, using the fixed point theorem, we investigate the boundedness and asymptotic
stability of the zero solution of the discrete Volterra equation x (n+ 1)= a (n)+ b (n) x (n)+∑ i …

A Volterra difference equation of the form x (n+ 2)= a (n)+ b (n) x (n+ 1)+ c (n) x (n)+< sup>
n+ 1 Σ< sup> i= 1 K (n, i) x (i) where a, b, c, x: ℕ→ ℝ and K: ℕ× ℕ→ ℝ is studied. For every …

In this paper we investigate the Volterra difference equation of the form $\D (r_n\D x_n)=
b_n+\sum_ {k= 1}^{n} K (n, k) f (x_k). $ We establish sufficient conditions for the existence of …

In this paper, we derive some new results on the asymptotic stability and strict boundedness
for a new class of non-autonomous nonlinear difference equations with time-varying delay …