2020

Posts (announcements, scientific articles, etc.) published at ICTP in 2020.

Properties of discrete non-multiplicative operators

Abstract The paper is focused on general sequences of discrete linear operators, say $$(L_{n})_{n}\geq1$$. The special case of positive operators…

On a class of Bernstein-type rational functions

Abstract This note aims to highlight a general class of discrete linear and positive operators, focusing on some of their…

Implicit elliptic equations via Krasnoselskii-Schaefer type theorems

AbstractExistence of solutions to the Dirichlet problem for implicit elliptic equations is established by using Krasnoselskii–Schaefer type theorems owed to…

A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators

Abstract In this work, we establish a vector version of fixed point theorem of cone compression and expansion for an…

Krasnosel’skii type compression-expansion fixed point theorem for set contractions and star convex sets

AbstractIn this paper, we give or improve compression-expansion results for set contractions in conical domains determined by balls or star…

Theoretical basis of optimal therapy for individual patients in chronic myeloid leukemia: A mathematical approach

AbstractEven if the successful pharmacological therapy for chronic myeloid leukemia has reached today a near normal life expectancy in a…

Fixed point index theory for decomposable multivalued maps and applications to φ-Laplacian problems

Abstract In this paper, we develop a fixed point index theory for decomposable multivalued maps, that is, compositions of two…

Harnack type inequalities and multiple solutions in cones of nonlinear problems

AbstractThe paper presents an abstract theory regarding operator equations and systems in ordered Banach spaces. We obtain existence, localization and…

Integrodifferential evolution systems with nonlocal initial conditions

AbstractThe paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the…

A mathematical model of the transition from the normal hematopoiesis to the chronic and acceleration-acute stages in myeloid leukemia

AbstractA mathematical model given by a two-dimensional differential system is introduced in order to understand the transition process from the…