Welcome to Pablo Amster's homepage!
Pablo
Amster
Profesor
Titular - Departamento de Matemática
Facultad de Ciencias
Exactas y Naturales
Universidad de Buenos Aires
Investigador
Principal - IMAS - CONICET
e-mail:
pamster@dm.uba.ar
AREAS OF INTEREST
Nonlinear differential equations and its applications.
RECENT RESEARCH ARTICLES
A Painlevé II Model in Two-Ion Electrodiffusion with Radiation Boundary Conditions. P. Amster, M. K. Kwong, C. Rogers. Nonlinear Analysis, Real World Applications 16 (2014) 120-131.
Existence Theorems for Some Abstract Nonlinear Non-autonomous Systems With Delays. P. Amster, L. Idels. Communications in Nonlinear Science and Numerical Simulation 19 (2014), 2974-2982.
Critical point theory in knot complements. P. Amster, J. Haddad. Differential Geometry and its Applications 36 (2014), 56–65.
On Dirichlet Two-Point Boundary Value Problems for the Ermakov-Painlevé IV Equation. P. Amster, C. Rogers. Journal of Applied Mathematics and Computing 48 Nº 1-2 (2015), 71-81.
On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem. P. Amster, C. Rogers. Discrete and Continuous Dynamical Systems, Series A 35 No. 8, (2015), 3277-3292
On existence of periodic solutions for Kepler type problems. P. Amster, J. Haddad. Topological methods in Nonlinear Analysis 48, No. 2 (2016), 465-476.
New applications of M-matrix methods to stability of high-order linear delayed equations. P. Amster, L. Idels. Applied Mathematics Letters 54 (2016), 1-6.
Necessary and sufficient conditions for the existence of periodic solutions of a Nicholson type delay system. P. Amster, A. Déboli. Differential Equations and Dynamical Systems (2016), 1-9.
Existence and multiplicity of periodic solutions for a generalized hematopoiesis model. P. Amster, R. Balderrama. Journal of Applied Mathematics and Computing 55 1-2 (2017), 591-607.
Multiple solutions for a second order equation with radiation boundary conditions. P. Amster, M. P. Kuna. Electronic Journal of Qualitative Theory of Differential Equations 2017 No. 37 (2017), 1-11.
Multiple solutions for an elliptic system with indefinite Robin boundary conditions. P. Amster. Advances in Nonlinear Analysis 8, No. 1 (2019), 603-614.
A note on a system with radiation boundary conditions with non-symmetric linearisation. P. Amster, M. P. Kuna. To appear in Monatshefte für Mathematik 186, No. 4 (2018), 565-577.
Lazer-Leach conditions for coupled Gompertz-like delayed systems. P. Amster, A. Déboli, M. P. Kuna. Applied Mathematics Letters 83 (2018) 53-58.
On the global dynamic behaviour for a generalized hematopoiesis model with almost periodic coefficients and oscillating circulation loss rate. P. Amster, R. Balderrama. Mathematical Methods in the Applied Sciences 41 No. 10 (2018), 3976-3997.
Periodic solutions for indefinite singular equations with singularities in the spatial variable and non-monotone nonlinearity. P. Amster, M. Zamora. Discrete and Continuous Dynamical Systems, Series A 38, No. 10 (2018), 4819-4835.
Systems of Delay Differential Equations: Analysis of a model with feedback. C. Alliera, P. Amster. Communications in Nonlinear Science and Numerical Simulation 65 (2018), 299-308.
Control of Pyragas applied to a Coupled System with Unstable Periodic Orbits. C. Alliera, P. Amster. Bulletin of Mathematical Biology 80 No 11 (2018), 2897-2916.
On exact multiplicity for a second order equation with radiation boundary conditions. P. Amster, M. P. Kuna. Topological Methods in Nonlinear Analysis 54 No 1 (2019), 233-246.
A Global Bifurcation Theorem for Critical Values in Banach Spaces. P. Amster, P. Benevieri, J. Haddad. To appear in Annali di Matematica Pura ed Applicata.
Multiple solutions for periodic perturbations of a delayed autonomous system near an equilibrium. P. Amster, M. P. Kuna, G. Robledo. Communications on Pure and Applied Analysis Vol 18 No. 4 (2019) 1695-1709. doi: 10.3934/cpaa.2019080
On a Neumann Boundary Value Problem for Ermakov-Painlev\'e III. P. Amster, C. Rogers. To appear in Electronic Journal of Qualitative Theory of Differential Equations.
RECENT BOOKS
· TOPOLOGICAL METHODS IN THE STUDY OF BOUNDARY VALUE PROBLEMS. Springer, NY (2013). ISBN 978-1-4614-8892-7. Publisher’s page.
· METODOS TOPOLOGICOS EN EL ANALISIS NO LINEAL. Publicaçoes Matemáticas, Instituto de Matemática Pura e Aplicada, Brasil (2009). ISBN 978-85-244-0285-2. Fulltext.
· MUCHO, POQUITO NADA. Un pequeño paseo matemático. Ed. Norma (2007). ISBN 978-987-545-466-8. Publisher’s page.
· FRAGMENTOS DE UN DISCURSO MATEMATICO. Fondo de Cultura Económica, (2007). Second edition in 2008. ISBN 978-950-557-736-1. Publisher’s page. Backcover.
· LA MATEMATICA COMO UNA DE LAS BELLAS ARTES. Ed. Siglo Veintiuno (2004). Sixth edition in 2013. ISBN 978-987-1105-92-2. Publisher’s page.
· ¡MATEMATICA, MAESTRO! Un concierto para números y orquesta. Ed. Siglo Veintiuno (2010). ISBN 978-987-629-143-9. http://matematicamaestro.blogspot.com/ Publisher’s page.
· TEORIA DE JUEGOS. UNA INTRODUCCION MATEMATICA A LA TOMA DE DECISIONES. (co-authored with Juan P. Pinasco.). Fondo de Cultura Económica, México, 2014. ISBN 978-6071-622341. Publisher’s page.
· DEL CERO AL INFINITO. UN RECORRIDO POR EL UNIVERSO MATEMÁTICO. Fondo de Cultura Económica, México 2019. ISBN 978-607-1663-67-2 Cover and preface at Publisher’s page.
SELECTED POPULAR SCIENCE ARTICLES
LA INSENSIBILIDAD DE LAS PRINCESAS.
EDGAR ALLAN POE Y LA MATEMÁTICA EN CRETA. Published in Quarto Nº 70 (2000).
LA MATEMÁTICA DE LAS FINANZAS. Published in Boletín de Matemáticas 17 (1), 59–76 (2010).
LA MATEMÁTICA DE LAS MARIPOSAS. Published in UNO No. 50 (2009).
SELECTED INTERVIEWS AND OTHERS
La música de la matemática (2014)
La matemática tiene mucho de literatura (2017)
La matemática condensa todas las incertidumbres del ser humano (2008)
La matemática está más cerca del arte que de la ciencia (2008)
La matemática como expresión artística (2017)
Videos of the concerts “Noches de música y ciencia”:
Concert 1 (Buenos Aires 2012): Part 1 Part 2
Concert 9 (Tucumán 2013): Part 1 Part 2
