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

Demonstratio mathematica

article

Emrah Yilmaz¹  Mudhafar Hamadamen¹  Tuba Gulsen¹ 

[1] Firat University, Department of Mathematics

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

DOI  :  10.1515/dema-2018-0023

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY