On a generalization of Bleimann, Butzer and Hahn operators based on q-integers
Abstract We propose a class of linear positive operators based on q-integers. These operators depend on a non-negative parameter and…
2011
An extension based on qR-integral for a sequence of operators
Abstract The paper deals with a sequence of linear positive operators introduced via q-Calculus. We give a generalization in Kantorovich…
Statistical convergence of a non-positive approximation process
Abstract Starting from a general sequence of linear and positive operators of discrete type, we associate its r-th order generalization. This…
On the nonlocal initial value problem for first order differential systems
AbstractThe aim of the is to study the existence of solutions of initial value problems for nonlinear first order differential…
Positive solutions of functional-differential systems via the vector version of Krasnoselskii’s fixed point theorem in cones
Abstract We study the existence of positive solutions of the functional-differential system \(u_{1}^{\prime \prime}\left( t\right) +a_{1}\left( t\right) f_{1}\left(u_{1}(g(t\right) ),u_{2}\left( g\left(…
Nonlinear Schrödinger equations via fixed point principles
AbstractThis paper deals with weak solvability of the Cauchy-Dirichlet problem for the perturbed time-dependent Schrödinger equation. We use the operator…
Poincare inequalities in reflexive cones
AbstractWe obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof…
Two positive nontrivial solutions for a class of semilinear elliptic variational systems
AbstractWe obtain existence and localization results of positive nontrivial solutions for a class of semilinear elliptic variational systems. The proof…
Steffensen type methods for approximating solutions of differential equations
AbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…
Seismic hemispheric asymmetry induced by Earth’s inner core decentering
AbstractIn a first approximation, the Earth’s interior has an isotropic structure with a spherical symmetry. Over the last decades the…