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…
not-at-ICTP
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…
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…