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Demonstratio Mathematica

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Volume 51, Issue 1


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

Emrah Yilmaz / Mudhafar Hamadamen / Tuba Gulsen
Published Online: 2018-11-08 | DOI: https://doi.org/10.1515/dema-2018-0023


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.

Keywords: inverse nodal problem; Prüfer substitution; p−Laplacian Bessel equation


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About the article

Received: 2018-06-06

Accepted: 2018-09-17

Published Online: 2018-11-08

Published in Print: 2018-10-01

Citation Information: Demonstratio Mathematica, Volume 51, Issue 1, Pages 255–263, ISSN (Online) 2391-4661, DOI: https://doi.org/10.1515/dema-2018-0023.

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© by Emrah Yilmaz, et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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