@article {
author = {Shahriari, Mohammad},
title = {Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions},
journal = {Computational Methods for Differential Equations},
volume = {2},
number = {3},
pages = {123-139},
year = {2014},
publisher = {University of Tabriz},
issn = {2345-3982},
eissn = {2383-2533},
doi = {},
abstract = {This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new Hilbert space and using spectral data of a kind, it is developed the Hochestadt's result based on transformation operator for inverse Sturm-Liouville problem with parameter dependent boundary and discontinuous conditions. Furthermore, it is established a formula for q(x) - tilde{q}(x) in the finite interval, where tilde{q}(x) is an analogous function with q(x).},
keywords = {Inverse Sturm-Liouville problem,Jump conditions,Green's function,Eigenparameter dependent condition,Transformation operator},
url = {https://cmde.tabrizu.ac.ir/article_3006.html},
eprint = {https://cmde.tabrizu.ac.ir/article_3006_b58f6612cd4666d0abfa3f6283667255.pdf}
}