4 papers
An abstract Gronwall inequality on a Banach lattice
Pablo Amster, Julián Epstein
An abstract version of the celebrated inequality is described by means of the spectral bound of an operator defined on a Banach lattice. As a consequence, uniqueness and continuous…
On an affinity principle by Krasnoselskii
Pablo Amster, Julián Epstein
An abstract formulation of a duality principle established by Krasnoselskii is presented. Under appropriate conditions, it shall be shown that, if the solutions of a nonlinear func…
Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics
Mostafa Adimy, Pablo Amster, Julián Epstein
The main purpose of this paper is to study the existence of periodic solutions for a nonautonomous differential-difference system describing the dynamics of hematopoietic stem cell…
Systems of functional-differential equations periodic solutions for systems of functional-differential semilinear equations at resonance
Pablo Amster, Julián Epstein, Arturo Sanjuán
Motivated by Lazer-Leach type results, we study the existence of periodic solutions for systems of functional-differential equations at resonance with an arbitrary even-dimensional…