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…
not-at-ICTP
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(…
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…
Existence results for systems of nonlinear evolution inclusions
AbstractExistence results for semilinear systems of abstract evolution inclusions are established by means of Nadler, Bohnenblust-Karlin and Leray-Schauder fixed point…
Two positive solutions of some singular boundary value problems
AbstractThe existence of two positive solutions for a class of singular boundary value problems is established by means of a…
A mathematical approach to cell dynamics before and after allogeneic bone marrow transplantation
AbstractWe shortly survey our recent contributions for a basic theoretical mathematical understanding of cell dynamics in acute leukemia, before and…