Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method
Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method
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 …