# 2015

## On a property of moduli of smoothness and K-functionals

Abstract A new property of moduli of smoothness associated to functions belonging to some certain spaces is revealed. In terms…

## Uniform approximation of some classes of linear positive operators expressed by series

Abstract The paper dealswith a general class of linear positive approximation processes designed using series. For continuous and bounded functions…

## A sequence of positive linear operators associated with an approximation process

Abstract Considering a general class of discrete linear positive operators, by using a one-to-one function, we associate to the class…

## Kantorovich sequences associated to general approximation processes

Abstract Starting from a general sequence of linear positive operators of discrete type we indicate a method to associate its…

## A topological approach to the existence and multiplicity of positive solutions of (p,q)-Laplacian systems

AbstractIn this paper we develop a new theory for the existence, localization and multiplicity of positive solutions for a class…

## Existence results for systems with nonlinear coupled nonlocal initial conditions

AbstractThe purpose of the present paper is to study the existence of solutions to initial value problems for nonlinear first…

## A unified existence theory for evolution equations and systems under nonlocal conditions

AbstractWe investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of…

## Variational properties of the solutions for second-order differential equations and systems on semi-line

AbstractIn this article, an abstract theory regarding variational properties of the fixed points of contractions and Perov contractions is applied…

## Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“

AbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…

## Some properties of solutions of the homogeneous nonlinear second order differential equations

Abstract In this paper we consider the following nonlinear homogeneous second order differential equations, $$F(x,y,y^{\prime},y^{\prime\prime})=0.$$ We present for the solutions,…