On the Extensions Preserving the Shape of a Semi-Hölder Function
AbstractWe present some results concerning the extension of a semi-Hölder real-valued function defined on a subset of a quasi-metric space,…
2013
A mixed iteration for nonnegative matrix factorizations
Abstract We show that, under appropriate conditions, one can create a hybrid between two given iterations which can perform better…
Properties of the solutions of a system of differential equations with maxima, via weakly picard operator theory
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AbstractIn this paper we present some properties of the solutions of a system of differential equation with maxima. Existence, uniqueness, inequalities…
Iterates of Bernstein type operators on a square with one curved side via contraction principle
AbstractGiven a function defined on a square with one curved side, we consider some Bernstein-type operators as well as their…
An iterative method for a functional-differential equation of second order with mixed type argument
Abstract In this paper we shall study a functional differential equation of second order with mixed type argument. For this…
Ulam stability for a delay differential equation
AbstractWe study the Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a delay differential equation. Some examples are given. AuthorsD. Otrocol (Tiberiu…
Iterates of multivariate Cheney-Sharma operators
AbstractUsing the weakly Picard operators technique, we study the convergence of the iterates of some hivariate and trivariate Cheney-Sharma operators.…
A penalized viscoplastic contact problem with unilateral constraints
AbstractIn this paper we study a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation.…
On the behaviour of the solution to a viscoplastic contact problem
AbstractThe present paper represents a continuation of [2]. There, a quasistatic contact problem for viscoplastic materials was considered, in which…
Analysis of a history-dependent frictionless contact problem
AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation.…
Publications
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 according to specific random walk rules. The occupation number of…
Read More 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, I. A. Rus formalized this notion (I. A. Rus, Some…
Read More How many steps still left to x*?
Emil Cătinaş
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 {|x^\ast – x_{k+1}|}{|x^\ast – x_k|^{p_0}}\in(0,+\infty), \end{equation} \begin{equation}\tag{$Q$} \lim \frac {\ln…
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