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Pablo Amster
Profesor Adjunto - 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 to Physics and Finance.

RECENT PUBLICATIONS

1. 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. To appear in Journal of Mathematical Analysis and Applications.

2. 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

• FRAGMENTOS DE UN DISCURSO MATEMATICO. Fondo de Cultura Económica, (2007). Second edition in 2008. ISBN 978-950-557-736-1

• LA MATEMATICA COMO UNA DE LAS BELLAS ARTES. Ed. Siglo Veintiuno (2004). Fifth edition in 2008. ISBN 978-987-1105-92-2