Sandwich theorems for radiant functions11 months agoAbstract We show that between two graphs, one of a radiant function and the other of a coradiant, both defined…
On a property of moduli of smoothness and K-functionals1 year agoAbstract 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 series1 year agoAbstract 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 process1 year agoAbstract 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 processes1 year agoAbstract 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 systems2 years agoAbstractIn 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 conditions2 years agoAbstractThe 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 conditions2 years agoAbstractWe 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-line2 years agoAbstractIn 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“4 years agoAbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…