Author:
Yilmaz Emrah,Hamadamen Mudhafar,Gulsen Tuba
Abstract
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.
Reference32 articles.
1. Determination of a Sturm - Liouville equationwith a singularity by two spectra in transl Soviet;Gasymov;Akad Nauk SSSR Engl Math,1965
2. Lower bounds for eigenvalues of the one - dimensional;Pinasco;Appl Anal,2004
3. On inverse problem of spectral analysis for a class of differential equations;Stashevskaya;Akad Nauk SSSR,1953
4. The inverse nodal problem and the Ambarzumyan problem for the Edinburgh Sect;Lian;Law Proc Soc,2009
5. The distribution of the eigenvalues for the Hydrogen atom and similar cases;McLeod;Proc Math Soc,1961
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the multiplicative Legendre equation;Journal of Taibah University for Science;2022-09-12
2. Some Spectral Properties of Multiplicative Hermite Equation;Fundamental Journal of Mathematics and Applications;2022-01-30