By using some solvability methods and the contraction mapping principle are investigated
bounded, as well as periodic solutions to some classes of nonhomogeneous linear second …

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 …

In this article, we study the inverse problem for Sturm-Liouville operators with boundary
conditions dependent on the spectral parameter. We show that the potential q (x) and …

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 homogeneous linear Volterra Discrete Equations and we study the asymptotic
behaviour of their solutions under hypothesis on the sign of the coefficients and of the first …

In this article we consider the two-dimensional boundary-value problem dm, n= dm-1, n+ ƒn
dm-1, n-1, 1≤ n< m, dm, 0= αm, dm, m= bm, m∈ ℕ, where αm, bm, m∈ ℕ and ƒn, n∈ ℕ …

By using a solvability method along with the contraction mapping principle quite recently has
been presented an interesting method for showing the existence of a unique bounded …

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, we determine rates of growth to infinity of scalar autonomous nonlinear
functional and Volterra differential equations. In these equations, the right-hand side is a …

Two‐dimensional linear discrete systems x (k+ 1)= A x (k)+∑ l= 1 n B lxl (k-ml), k≥ 0, are
analyzed, where m1, m2,…, mn are constant integer delays, 0< m1< m2<⋯< mn, A, B1 …