TY - JOUR
ID - 17973
TI - Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Shahriari, Mohammad
AD - Department of Mathematics, Faculty of Science, University of Maragheh, Maragheh, Iran.
Y1 - 2016
PY - 2016
VL - 03
IS - 2
SP - 75
EP - 89
KW - Inverse Sturm-Liouville problem
KW - Jump conditions
KW - Non self-adjoint operator
KW - Parameter dependent condition
DO -
N2 - In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. By defining a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and parts of two sets of eigenvalues.
UR - https://scma.maragheh.ac.ir/article_17973.html
L1 - https://scma.maragheh.ac.ir/article_17973_6df44ee2ee8037955d17cb29c9f1d581.pdf
ER -