Welcome to Pablo Amster's homepage!
Pablo Amster
Profesor Asociado - Departamento de Matemática
Facultad de Ciencias Exactas y Naturales
Universidad de
Buenos Aires
CONICET
e-mail: pamster@dm.uba.ar
AREAS OF INTEREST
Nonlinear differential equations and its applications.
RECENT RESEARCH ARTICLES
· Solutions of nonlinear elliptic equations in unbounded Lipschitz domains. P. Amster, M. C. Mariani, O. Méndez. Forum Mathematicum 19, No.1 (2007), 115-125.
· Nagumo and Landesman-Lazer type conditions for nonlinear second order systems. P. Amster. Nonlinear Differential Equations and Applications 13 (2007), 699-711.
· Oscillating solutions for a nonlinear fourth order ordinary equation. P. Amster, M. C. Mariani. Journal of Mathematical Analysis and Applications 325, No 2 (2007) 1133-1141.
· A Quasilinearization Method for Elliptic Problems with a Nonlinear Boundary Condition. P. Amster, P. De Nápoli. Nonlinear Analysis TMA 66 (2007), 2255-2263 .
· Landesman-Lazer type conditions for a system of p-Laplacian like operators. P. Amster, P. De Nápoli. Journal of Mathematical Analysis and Applications 326, No 2 (2007) 1236-1243.
· Some results on the forced pendulum equation. P. Amster, M. C. Mariani. Nonlinear Analysis, TMA 68 No 7 (2008), 1874-1880.
· A shooting method for a nonlinear beam equation. P. Amster, P. P. Cárdenas Alzate. Nonlinear Analysis, TMA 68 No 7 (2008), 2072-2078.
· Sturm-Liouville boundary conditions for a second order ODE. P. Amster, P. P. Cárdenas Alzate. Matemática: Enseñanza Universitaria XV, No 1 (2007), 3-12.
· On boundary value problems in three-ion electrodiffusion. P. Amster, C. Rogers. Journal of Mathematical Analysis and Applications 333 (2007), 42-51.
· On multiplicity of stationary solutions of a superlinear equation in time scales. P. Amster. Journal of Difference Equations and Applications 13, No 11 (2007), 1051-1058.
· Variational methods for two resonant problems on time scales. P. Amster, P. De Nápoli and C.C. Tisdell. International Journal of Difference Equations 2, No 1 (2007).
· On Nirenberg type conditions for higher order systems on time scales. P. Amster, P. De Nápoli and J.P. Pinasco. Computers and Mathematics with Applications 55 (2008), 2762-2766.
· Two classical periodic problems on time scales. P. Amster, C.C. Tisdell. Electronic Journal of Differential Equations Vol.2007 (2007), No. 149, 1-12.
· Eigenvalue distribution of second-order dynamics equations on time scales considered as fractals. P. Amster, P. De Nápoli and J. P. Pinasco. Journal of Mathematical Analysis and Applications 343, No 1 (2008), 573-584.
· Non-homogeneous Boundary Conditions for the Stationary Quantum Diffusion Equation. P. Amster, A. Jüngel, D. Matthes. Comptes Rendus Acad. Sci. Paris Series I (Mathematique) 346 (2008), 143-148.
· Detailed Asymptotic of Eigenvalues on Time Scales. P. Amster, P. De Nápoli and J.P. Pinasco. To appear in Journal of Difference Equations and Applications.
· On a generalization of Lazer-Leach conditions. P. Amster and P. De Nápoli. Topological Methods in Nonlinear Analysis 33 No 1 (2009), 31-40.
· A Boundary Value Problem for an electro-diffusion model on the Half-line. P. Amster, C. Rogers and L. Vicchi. Nonlinear Analysis, TMA 71 (2009), 149-154.
· Topological methods for a nonlinear elliptic system with nonlinear boundary conditions. P. Amster. To appear in International Journal of Dynamical Systems and Differential Equations.
· A parabolic problem arising on Financial Mathematics. P. Amster, P. De Nápoli C. Averbuj and M. C. Mariani. To appear in Nonlinear Analysis, Series B: Real World Applications.
· Towards a Generalization of Dupire's Equation for Several Assets. P. Amster, P. De Nápoli and J.P. Zubelli. Journal of Mathematical Analysis and Applications 355 (2009), 170-179.
· Non-asymptotic and potential Landesman-Lazer conditions for a nonlinear beam equation. P. Amster. To appear in Journal of Applied Mathematics and Computing.
· Periodic solutions of systems with singularities of repulsive type. P. Amster and M. Maurette. To appear in Advanced Nonlinear Studies.
· On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion. P. Amster, M. K. Kwong and C. Rogers. To appear in Nonlinear Analysis, TMA.
· Non-asymptotic Lazer-Leach type conditions for a nonlinear oscillator. P. Amster and P. De Nápoli. To appear in Discrete and Continuous Dynamical Systems, Series A.
· A nonlinear problem depending on the unknown Dirichlet values of the solution. P. Amster and A. Déboli. To appear in Differential Equations and Dynamical Systems.
· Solvability of second order weakly coupled systems with rapidly oscillating nonlinearities. P. Amster. To appear in Dynamics of Continuous, Discrete and Impulsive Systems (Series A, Theory and Methods).
· Periodic solutions of resonant systems with rapidly rotating nonlinearities. P. Amster y M. Clapp. Differential Equations and Dynamical Systems, Series A Vol. 31 No. 2 (2011), 373-383.
· Periodic motions in forced problems of Kepler type. P. Amster, J. Haddad, R. Ortega, A. J. Ureña. To appear in Nonlinear Differential Equations and Applications.
· Periodic Solutions of Angiogenesis Models with Time Lags. P. Amster, L. Berezansky, L. Idels. To appear in Nonlinear Analysis, Real World Applications.
RECENT BOOKS
· METODOS TOPOLOGICOS EN EL ANALISIS NO LINEAL. Publicaçoes Matemáticas, Instituto de Matemática Pura e Aplicada, Brasil (2009). ISBN 978-85-244-0285-2.
· 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). Fifth edition in 2008. 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
RECENT INTERVIEWS
· La matemática condensa todas las incertidumbres del ser humano (Clarín)
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