Inverse Nodal Problem for Polynomial Pencil of a Sturm-Liouville Operator from Nodal Parameters

Author(s):

Sertac Goktas * , Esengul Biten

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
A Sturm-Liouville problem with n-potential functions in the second order differential equation and which contains spectral parameter depending on linearly in one boundary condition is considered. The asymptotic formulas for the eigenvalues, nodal parameters (nodal points and nodal lengths) of this problem are calculated by the Prüfer's substitutions. Also, using these asymptotic formulas, an explicit formula for the potential functions are given. Finally, a numerical example is given.
Keywords:

Eigenvalues , Eigenfunctions , Prüfer's Substitutions , Sturm-Liouville problem , Inverse Nodal problem

Language:
English
Published:
Mathematics Interdisciplinary Research, Volume:6 Issue: 3, Summer 2021
Pages:
171 to 183
https://www.magiran.com/p2455642