1 citations · 2 across the 22 of their papers we have counts for
24 papers
A 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction
Colin Rogers, Pablo Amster
A 2+1-dimensional extension of the solitonic Dym equation is shown to admit a Painlevé II symmetry reduction which permits the exact solution of a class of Stefan-type moving bound…
An Extended Modified Kadomtsov-Petviashvili Equation: Ermakov-Painlevé II Symmetry Reduction with Moving Boundary Application
Colin Rogers, Pablo Amster
Here, a novel 2+1-dimensional nonlinear evolution equation with temporal modulation is introduced which admits integrable Ermakov-Painlevé II symmetry reduction. Application is mad…
On an integrable 2+1-dimensional extended Dym equation: Lax pair, -dressing scheme and modulation
Boris Konopelchenko, Colin Rogers, Pablo Amster
In 1+1-dimensions, an extension of the canonical solitonic Dym equation has previously been derived both in a geometric torsion evolution context and in the analysis of peakon soli…
A discretisation of the Ermakov-Painlevé II equation: Dirichlet and Robin-type boundary value problems
Pablo Amster, Colin Rogers
Two-point boundary value problems for a discrete Ermakov-Painlevé II equation are analysed by means of topological methods. In addition, an alternative variational approach is deta…
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…
Periodic oscillations in electrostatic actuators under time delayed feedback controller
Pablo Amster, Andrés Rivera, John A. Arredondo
In this paper, we prove the existence of two positive -periodic solutions of an electrostatic actuator modeled by the time-delayed Duffing equation $$\ddot{x}(t)+f_{D}(x(t),\dot…
On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting
Pablo Amster, Melanie Bondorevsky
An N-dimensional generalization of Nicholson's equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired…
On a theorem by Browder and its application to nonlinear boundary value problems
Pablo Amster
In a paper from 1960, Felix Browder established a theorem concerning the continuation of the fixed points of a family of continuous functions depending continuously on…
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…
On Landesman-Lazer conditions and the Fundamental Theorem of Algebra
Pablo Amster
We give an elementary proof of a Landesman-Lazer type result for systems by means of a shooting argument and explore its connection with the fundamental theorem of algebra.
On the Solvability of the Periodically Forced Relativistic Pendulum Equation on Time Scales
Pablo Amster, Mariel P. Kuna, Dionicio D. Santos
We study some properties of the range of the relativistic pendulum operator , that is, the set of possible continuous -periodic forcing terms for which the equat…
Multiplicity of Periodic Solutions for Dynamic Liénard Equations with Delay and Singular -laplacian of Relativistic Type
Pablo Amster, Mariel P. Kuna, Dionicio D. Santos
We study the existence and multiplicity of periodic solutions for singular -laplacian equations with delay on time scales. We prove the existence of multiple solutions using top…
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…
Persistence and periodic solutions in systems of delay differential equations
Pablo Amster, Melanie Bondorevsky
We study semi-dynamical systems associated to delay differential equations. We give a simple criteria to obtain weak and strong persistence and provide sufficient conditions to gua…
On exact multiplicity for a second order equation with radiation boundary conditions
Pablo Amster, Mariel P. Kuna
A second order ordinary differential equation with a superlinear term under radiation boundary conditions is studied. Using a shooting argument, all the results obtained i…
Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium
Pablo Amster, Mariel P. Kuna, Gonzalo Robledo
Small non-autonomous perturbations around an equilibrium of a nonlinear delayed system are studied. Under appropriate assumptions, it is shown that the number of -periodic solut…
Adapting the CVA model to Leland's framework
P. Amster, A. P. Mogni
We consider the framework proposed by Burgard and Kjaer (2011) that derives the PDE which governs the price of an option including bilateral counterparty risk and funding. We exten…
A global bifurcation theorem for critical values of maps in Banach spaces
Pablo Amster, Pierluigi Benevieri, Julian Haddad
We present a global bifurcation result for critical values of maps in Banach spaces. The approach is topological based on homotopy equivalence of pairs of topological spaces.…
On a pricing problem for a multi-asset option with general transaction costs
Pablo Amster, Andres P. Mogni
We consider a Black-Scholes type equation arising on a pricing model for a multi-asset option with general transaction costs. The pioneering work of Leland is thus extended in two…
Systems of Delay Differential Equations: Analysis of a model with feedback
Pablo Amster, Carlos Alliera
Self-regulatory models are common in nature, as described e.g. in (\cite{mur}), (\cite{ha}) and (\cite{Gb}).\\ Let us consider a system made up of a number of glands as a motivatio…
Existence and multiplicity of periodic solutions for a hematopoiesis model
Pablo Amster, Rocío Balderrama
A general nonautonomous Mackey-Glass equation for the regulation of the hematopoiesis with several non-constant delays is studied. Using topological degree methods, we prove the ex…
On existence of periodic solutions for Kepler type problems
Pablo Amster, Julián Haddad
We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In the different cases, the lower bounds obtained f…
Stability of Hahnfeldt Angiogenesis Models with Time Lags
P. Amster, L. Berezansky, L. Idels
Mathematical models of angiogenesis, pioneered by P. Hahnfeldt, are under study. To enrich the dynamics of three models, we introduced biologically motivated time-varying delays. A…