TY - JOUR
AU - Bondarenko, Natalia P.
PY - 2021/01/31
Y2 - 2021/04/10
TI - Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 52
IS - 1
SE -
DO - 10.5556/j.tkjm.52.2021.3700
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3700
SP - 125-154
AB - <p>An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases.</p>
ER -