On Transmutation Operators and Neumann Series of Bessel Functions Representations for Solutions of Linear Higher Order Differential Equations

Flor A Gómez,Vladislav V Kravchenko

doi:10.1007/978-3-030-26748-3_21

On Transmutation Operators and Neumann Series of Bessel Functions Representations for Solutions of Linear Higher Order Differential Equations

Flor A Gómez, Vladislav V Kravchenko

https://doi.org/10.1007/978-3-030-26748-3_21

Copy DOI

Publication Date: Jan 1, 2019

Affiliation: Center for Research and Advanced Studies of the National Polytechnic Institute, Southern Federal University

#Neumann Series Of Bessel Functions #Higher Order Ordinary Differential Equations + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

A new representation for solutions of linear higher order ordinary differential equations with a spectral parameter is obtained in terms of Neumann series of Bessel functions. The result is based on a Fourier-Legendre series representation for the Borel transform of the solution with respect to the spectral parameter. Estimates for the coefficients and for the convergence of the representation are derived. Numerical illustrations of the applicability of the obtained formulae are presented.

Full Text