Solution of the inverse problem for Bessel operator on an interval [Formula: see text]

In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem [Formula: see text] on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are...

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Detalles Bibliográficos
Autores principales: Coskun, Mesut, Gulsen, Tuba, Koyunbakan, Hikmet
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816779/
https://www.ncbi.nlm.nih.gov/pubmed/29497261
http://dx.doi.org/10.1186/s13660-018-1631-0
Descripción
Sumario:In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem [Formula: see text] on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are similar to the classical Sturm–Liouville problem. However, equations of this type are considered with the condition defined at the origin. We solve the problem on the interval [Formula: see text] , that problem is not singular.

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