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Resoluções de equações diferenciais ordinárias por séries de potências
(Universidade Tecnológica Federal do ParanáCuritibaBrasilLicenciatura em MatemáticaUTFPR, 2017-06-30)
In this work I study solutions of Second Order Linear Diferential Equations with non-constant coefficients. In order to solve these kinds of problems I use power series methods, in particular the Sucessive Differentiations ...
Isomorfismo de grafos y de funciones lógicas con algunas aplicacionesIsomorfismo de grafos y de funciones lógicas con algunas aplicaciones
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 1998)
Comment on “Generalized differential transform method to differential-difference equation” by L. Zou et al.
(Elsevier Science, 2021-08)
We show that the differential transform is the well known Taylor series (contrary to what the authors claim) and that the differential transform method (DTM) is the well known Frobenius method, commonly used to obtain exact ...
O Teorema de Perron-Frobenius
(Universidade Federal do TocantinsArraiasCURSO::ARRAIAS::PRESENCIAL::LICENCIATURA::MATEMÁTICAArraiasGraduação, 2023)
An ubiquitous three-term recurrence relation
(American Institute of Physics, 2021-03)
We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under ...
Gross misinterpretation of a conditionally solvable eigenvalue equation
(World Scientific, 2020-11-10)
We solve an eigenvalue equation that appears in several papers about a wide range of physical problems. The Frobenius method leads to a three-term recurrence relation for the coefficients of the power series that, under ...
Comment on “Bound states and the potential parameter spectrum” [J. Math. Phys. 61, 062103 (2020)]
(American Institute of Physics, 2021-06)
We analyze the application of the “tridiagonal representation approach” (TRA) to the Schrödinger equation for some simple, exactly solvable, quantum-mechanical models. In the case of the Kratzer-Fues potential, the expression ...
Comment on "aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields"
(American Physical Society, 2021-03)
We analyze recently published results about the Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields. We show that the eigenvalues obtained ...
Lyapounov stability for impulsive dynamical systems
(2002-12-01)
This article addresses the problem of stability of impulsive control systems whose dynamics are given by measure driven differential inclusions. One important feature concerns the adopted solution which allows the consideration ...