On the uniform convergence of a q-series
Abstract The paper deals with a class of linear positive operators expressed by q-series. By using modulus of smoothness an…
2016
Asymptotic behaviour of Jain operators
Abstract The topic of the present paper are certain approximation operators acting on the space of continous functions on \([0,+\infty)\)…
On the variation detracting property of operators of Balázs and Szabados
Abstract In this note we spotlight the linear and positive operators of discrete type \((R_{n})_{n\geq1}\) known as Balazs–Szabados operators. We…
Variational properties of the solutions of singular second-order differential equations and systems
AbstractThis paper is devoted to the existence and variational characterization of the weak solutions of the Dirichlet boundary value problem…
Semilinear evolution systems with nonlinear constraints
AbstractThe purpose of the present paper is to study the existence of solutions to semilinear evolution systems with nonlinear constraints.…
Multiple positive solutions to a fourth order boundary value problem
AbstractWe study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach…
A Schechter type critical point result in annular conical domains of a Banach space and applications
AbstractUsing Ekeland’s variational principle we obtain a critical point theorem of Schechter type for extrema of a functional in an…
Fixed point theorems under combined topological and variational conditions
AbstractThe new idea is to replace part of the conditions on the operator involved in the classical fixed point theorems…
Nash-type equilibria for systems of Szulkin functionals
AbstractIn this paper the solutions of some systems of variational inequalities are obtained as Nash-type equilibria of the corresponding systems…
Variational properties of the solutions of semilinear equations under nonresonance conditions
Abstract The paper deals with weak solutions of the semilinear operator equation \(Au-cu=J^{\prime}\left( u\right))\ in a Hilbert space, where \(A)\…