Asymptotic stability for a model of cell dynamics after allogeneic bone marrow transplantation
AbstractThe paper presents stability analysis of steady-states of a dynamic system modeling cell evolution after stem cell transplantation. The border…
not-at-ICTP
Abstract weak Harnack inequality, multiple fixed points and p-Laplace equations
AbstractThis paper presents an abstract theory for the existence, localization and multiplicity of fixed points in a cone. The key…
Moser-Harnack inequality, Krasnoselskii type fixed point theorems in cones and elliptic problems
AbstractThe compression-expansion fixed point theorems of M. A. Krasnoselʹskiĭ have been extensively used as a basic tool for the existence…
Multiple positive solutions of non-local initial value problems for first order differential systems
AbstractThe paper gives a new and natural method for the existence of multiple positive solutions for first order differential systems…
Critical point theorems in cones and multiple positive solutions of elliptic problems
AbstractWe obtain critical point variants of the compression fixed point theorem in cones of Krasnoselskii. Critical points are localized in…
Mathematical understanding of the autologous stem cell transplantation
AbstractA simple mathematical model is provided for understanding the cell dynamics after autologous stem cell transplantation, concluding about the effectiveness…
A planning algorithm for correction therapies after allogeneic stem cell transplantation
AbstractIn this paper we continue the investigation of a basic mathematical model describing the dynamics of three cell lines after…
Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation
AbstractIn this paper a basic mathematical model is introduced to describe the dynamics of three cell lines after allogeneic stem…
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(…