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

Gulsen T., Yilmaz E., Hamadamen M.

Demonstratio Mathematica

2018

Vol. 51, nr 1

255--263

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.