The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions

Author(s):

Yasser Khalili * , Mohsen Khaleghi Moghadam

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this study, we discuss the inverse problem for the Sturm-Liouville operator with the impulse and with the spectral boundary conditions on the finite interval (0, π). By taking the Mochizuki-Trooshin’s method, we have shown that some information of eigenfunctions at some interior point and parts of two spectra can uniquely determine the potential function q(x) and the boundary conditions.
Keywords:

. Inverse problem , Sturm-Liouville operator with the impulse , Spectral boundary condition , Spectrum

Language:
English
Published:
Computational Methods for Differential Equations, Volume:10 Issue: 2, Spring 2022
Pages:
519 to 525
https://www.magiran.com/p2414885