On the stability of bessel differential equation

Using power series method, Kim and Jung (2007) investigated the Hyers-Ulam stability of the Bessel differential equation, x^2y′′(x)+xy′(x)+(x^2−α^2)y(x) = 0, of order non-integral number α > 0. Also Bicer and Tunc (2017) obtained new sufficient conditions guaranteeing the Hyers-Ulam stability of...

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Detalhes bibliográficos
Autor principal: Jung, Soon-Mo (author)
Outros Autores: Simões, A. M. (author), Ponmana Selvan, A. (author), Roh, Jaiok (author)
Formato: article
Idioma:eng
Publicado em: 2022
Assuntos:
Texto completo:http://hdl.handle.net/10773/35263
País:Portugal
Oai:oai:ria.ua.pt:10773/35263
Descrição
Resumo:Using power series method, Kim and Jung (2007) investigated the Hyers-Ulam stability of the Bessel differential equation, x^2y′′(x)+xy′(x)+(x^2−α^2)y(x) = 0, of order non-integral number α > 0. Also Bicer and Tunc (2017) obtained new sufficient conditions guaranteeing the Hyers-Ulam stability of Bessel differential equation of order zero. In this paper, by classical integral method we will investigate the stability of Bessel differential equations of a more generalized order than previous papers. Also, we will consider a more generalized domain (0, a) for any positive real number a while Kim and Jung (2007) restricted the domain near zero.