## On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators

Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate…

## Tikhonov regularization of a perturbed heavy ball system with vanishing damping

AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…

## On the Controllability of a System Modeling Cell Dynamics Related to Leukemia

AbstractIn this paper, two control problems for a symmetric model of cell dynamics related to leukemia are considered. The first…

## On a Volterra Integral Equation with Delay, via w-Distances

AbstractThe paper deals with a Volterra integral equation with delay. In order to apply the w-weak generalized contraction theorem for…

## Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media

AbstractFlow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices…

## Functional differential equations with maxima, via step by step contraction principle

AbstractT. A. Burton presented in some examples of integral equations a notion of progressive contractions on C([a, ∞[). In 2019,…

## How many steps still left to x*?

Abstract The high speed of $$x_{k}\rightarrow x^\ast\in{\mathbb R}$$ is usually measured using the C-, Q- or R-orders: \tag{$C$} \lim \frac…

## Kantorovich type operators associated with Jain-Markov operators

AbstractThis note focuses on a sequence of linear positive operators of integral type in the sense of Kantorovich. The construction…

## Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems

AbstractThe present work deals with the numerical long-time integration of damped Hamiltonian systems. The method that we analyze combines a…

## Approximation of some classes of functions by Landau type operators

Abstract This paper aims to highlight a class of integral linear and positive operators of Landau type which have affine…