Study on Integrodifferential Evolution Systems with Nonlocal Initial Conditions
AbstractThe work is concerned with systems of abstract integrodifferential equations with general nonlocal initial conditions. To allow the nonlinear terms…
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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…
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…
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: \begin{equation}\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…
On Landau-type approximation operators
AbstractIn this paper, we define and study a general class of convolution operators based on Landau operators. A property of…