Extensions of semi-Hölder real valued functions on a quasi-metric space
Abstract In this note, the semi-Holder real valued functions on a quasi-metric (asymmetric metric) space are defined. An extension theorem…
2009
On statistical approximation in spaces of continuous functions
Abstract Our goal is to present approximation theorems for sequences of positive linear operators defined on \(C(X)\), where \(X\) is…
Compression-expansion critical point theory in conical shells
AbstractA Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions…
Mathematical models of the leukemic hematopoiesis
AbstractStarting from a classification of acute myeloid leukemias which takes into account the vital characteristics of the leukemic clones, we…
Fourth-order p-Laplacian nonlinear systems via the vector version of Krasnoselskii’s fixed point theorem
AbstractIn this paper, existence results for a fourth-order nonlinear system are obtained. Both classical and vector versions of the Krasnosel’skiĭ’s…
Existence of solutions for second-order differential equations and systems on infinite intervals
Abstract We study the existence of nontrivial solutions to the boundary value problem \(-u^{\prime \prime}+cu\prime+\lambda u\) \( =f(x,u),\ \ -\infty<x<+\infty\)…
Data dependence of fixed points for non-self generalized contractions
AbstractData dependence of fixed points for several classes of non-self generalized contractions is studied. A fibre non-self contraction theorem is…
Existence, localization and multiplicity results for positive radial solutions of semilinear elliptic systems
AbstractExistence, localization and multiplicity results of positive solutions to a system of singular second-order differential equations are established by means…
The role of matrices that are convergent to zero in the study of semilinear operator systems
AbstractIn this paper we explain the advantage of vector-valued norms and the role of matrices that are convergent to zero…
Existence results for semilinear elliptic boundary value problems via topological methods
Abstract In this work, existence and localization results for \(C_1\)-solutions to elliptic Dirichlet boundary value problems are established. The approach…