Recovering the Sturm-Liouville Operator with Singular Potential Using Nodal Data

McLaughlin J.R.: Inverse spectral theory using nodal points as data-a uniqueness result. J. Differ. Equ. 13, 354–362 (1988)

Hald O.H., McLaughlin J.R.: Solutions of inverse nodal problems. Inverse Probl. 5, 307–347 (1989)

Law C.K., Shen C.-L., Yang C.-F.: The inverse nodal problem on the smoothness of the potential function. Inverse Probl. 15(1), 253–263 (1999)

Cheng Y.H., Shieh C.T., Law C.K.: A vectorial inverse nodal problem. Proc. Am. Math. Soc. 133(5), 1475–1484 (2005)

Zhikov V.V.: On a inverse St-L problems on a finite interval. Izv. AN SSSR Mat. 31(5), 965–976 (1967)

Hryniv R.O., Mykytyuk Ya.V.: Inverse spectral problems for SturmLiouville operators with singular potentials. Inverse Probl. 19, 665–684 (2003)

Shieh C.T., Yurko V.: Inverse nodal and inverse spectral problems for discontinuous boundary value problems. J. Math. Ann. Appl. 347(1), 266–272 (2008)

Atkinson F.V.: Discrete and Continuous Boundary Problems. Academic Press, London (1964)

Vinokurov V.A., Sadovnichii V.A.: Asymptotics of the eigenvalues and eigenfunctions and a trace formula for the potential, containing δ-functions. Differentsialnye uravneniya 38(6), 735–751 (2002)