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
On high-order conforming finite element methods for ill-posed Helmholtz problems
Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first review the conditional stability of this problem and then discuss…
Read More 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 some approximation properties of this new class. The evaluation of…
Read More 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 to the minimization problem of a convex Fréchet differentiable function.…
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