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BY-NC-ND 4.0 license Open Access Published by De Gruyter Open Access November 8, 2018

Inverse nodal problem for p−Laplacian Bessel equation with polynomially dependent spectral parameter

  • Emrah Yilmaz EMAIL logo , Mudhafar Hamadamen and Tuba Gulsen
From the journal Demonstratio Mathematica

Abstract

In this study, solution of inverse nodal problem for p−Laplacian Bessel equation is extended to the case that boundary condition depends on polynomial eigenparameter. To find spectral datas as eigenvalues and nodal parameters of this problem, we used a modified Prüfer substitution. Then, reconstruction formula of the potential functions is also obtained by using nodal lenghts. However, this method is similar to used in [Koyunbakan H., Inverse nodal problem for p−Laplacian energy-dependent Sturm-Liouville equation, Bound. Value Probl., 2013, 2013:272, 1-8], our results are more general.

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Received: 2018-06-06
Accepted: 2018-09-17
Published Online: 2018-11-08
Published in Print: 2018-10-01

© by Emrah Yilmaz, et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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