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…
not-at-ICTP
A hypothetical-mathematical model of acute myeloid leukemia pathogenesis
AbstractAcute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding…
Solvability of p,q-Laplacian systems with potential boundary conditions
AbstractExistence results to boundary value problems for non-potential p, q-Laplacian systems with potential boundary conditions are established. The approach relies on Schaefer…
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…