Analysis of a nonlinear integral equation modelling infection diseases
Abstract To describe the spread of virus diseases with contact rate that varies seasonally, the following delay integral equation has…
not-at-ICTP
Inequalities and compactness
AbstractWe use the inequalities of Holder, Gronwall and Wirtinger type to establish sufficient conditions for that the null function is…
Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality
AbstractIn this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality…
Localization of critical points via mountain pass type theorems
AbstractREZUMAT: Metode itera\U{21b}iior monotone pentru problema cu valori ini\U{21b}iale relativ\u{a} la o ecua\U{21b}ie integral\u{a} din biomatematic\u{a}. \^{I}n lucrare este prezentat\u{a}…
Componentwise compression-expansion conditions for systems of nonlinear operator equations and applications
AbstractA Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions…
Compression-expansion critical point theory in conical shells
AbstractA Krasnoselskii type compression-expansion fixed point theorem is adapted for the treatment of systems of semi-Unear equations. The compression-expansion conditions…
Theoretical models of hematopoietic cell dynamics related to bone marrow transplantation
AbstractThis review article presents some mathematical models of hematopoietic cell dynamics related to bone marrow transplantation. Both allogeneic and autologous…
A variational analogue of Krasnoselskii’s cone fixed point theory
AbstractBased on Ekeland’s principle, a variational analogue of Krasnoselskii’s cone compression-expansion fixed point theorem is presented. A general scheme of…
Componentwise localization of critical points for functionals defined on product spaces
AbstractA new notion of linking is introduced to treat minima as minimax points in a unitary way. Critical points are…
Analysis of the effectiveness of the treatment of solid tumors in two cases of drug administration
AbstractA complete stability analysis of the equilibrium solutions of a system modeling tumor chemotherapy is performed in two cases of…