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…
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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*?
We survey the convergence orders of sequences and show the orders of the basic iterative sequences for solving nonlinear equations…
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…
Approximation properties of a family of integral type operators
AbstractIn this paper we consider a general class of linear positive processes of integral type. These operators act on functions…
Ulam stability of a linear difference equation in locally convex spaces
Abstract We obtain a characterization of Ulam stability for the linear difference equation with constant coefficients \(x_{n+p}=a_₁x_{n+p-1}+…+a_{p}x_{n}\) in locally convex…