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

• Autorzy: Gulsen T. , Yilmaz E. , Hamadamen M.

Identyfikatory

DOI

10.1515/dema-2018-0023

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

inverse nodal problem; Prüfer substitution; p-Laplacian Bessel equation

PL

problem odwrotny; zagadnienie odwrotne; substytucja Prüfera; podstawienie Prüfera; równanie Bessela

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2018
• Tom: Vol. 51, nr 1
• Strony: 255--263
• Opis fizyczny: Bibliogr. 38 poz.

Twórcy

autor

Gulsen T.

• Firat University, Department of Mathematics, 23119, Elazig, Turkey

autor

Yilmaz E.

• Firat University, Department of Mathematics, 23119, Elazig, Turkey

autor

Hamadamen M.

• Firat University, Department of Mathematics, 23119, Elazig, Turkey

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).