An alternative approach to the power series method

Authors

  • Márcio Rostirolla Adames Departamento de Matemática, Universidade Tecnológica Federal do Paraná, Av. Sete de Setembro, 3165 - Curitiba - PR - Brasil

DOI:

https://doi.org/10.17268/sel.mat.2017.02.01

Keywords:

ODE, Non-homogeneous, Initial Value Problem, Power Series, Strong Operator Convergence

Abstract

This article consider the classical problem of linear non-homogeneous second order Initial Value Problems with analytic coefficients. It classifies the possible kinds of analytic solutions, giving criteria for the nonexistence
of analytical solutions and for the existence of multiple analytic solutions. An alternative proof for the convergence of the power series method is given and it applies for some singular irregular points.

References

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Published

2017-12-15

How to Cite

Adames, M. R. (2017). An alternative approach to the power series method. Selecciones Matemáticas, 4(02), 139-151. https://doi.org/10.17268/sel.mat.2017.02.01

Issue

Vol. 4 No. 02 (2017): August - December

Section

Articles

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