References
- McLaughlin, JR, 1988. Inverse spectral theory using nodal points as data – A uniqueness result, J. Differ. Eqns 73 (1988), pp. 354–362.
- Gelfand, IM, and Levitan, BM, 1951. On the determination of a differential equation from its spectral function, Amer. Math Soc. Trans. 1 (1951), pp. 253–304.
- Hald, O, and McLaughlin, JR, 1989. Solutions of inverse nodal problems, Inverse Probl. 5 (1989), pp. 307–347.
- Browne, PJ, and Sleeman, BD, 1996. Inverse nodal problem for Sturm–Liouville equation with eigenparameter depend boundary conditions, Inverse Probl. 12 (1996), pp. 377–381.
- Cheng, YH, and Law, CK, 2006. The inverse nodal problem for Hill's equation, Inverse Probl. 22 (2006), pp. 891–901.
- Koyunbakan, H, and Yilmaz, E, 2008. Reconstruction of the potential function for the diffusion operator, Z. Naturf. A 63a (2008), pp. 127–130.
- Law, CK, Shen, CL, and Yang, CF, 1999. The inverse nodal problem on the smoothness of the potential function, Inverse Probl. 15 (1) (1999), pp. 253–263.
- Law, CK, and Yang, CF, 1998. Reconstructing potential function and its derivatives using nodal data, Inverse Probl. 14 (2) (1998), pp. 299–312.
- Chen, YT, Cheng, YH, Law, CK, and Tsa, J, 2002. Convergence of the reconstruction formula for the potential function, Proc. Amer. Math. Soc. 130 (2002), pp. 2319–2324.
- Shieh, CT, and Yurko, VA, 2008. Inverse nodal and inverse spectral problems for discontinuous boundary value problems, J. Math. Anal. Appl. 347 (2008), pp. 266–272.
- Panakhov, ES, Koyunbakan, H, and Ic, U, 2010. Reconstruction formula for the potential function of the Sturm–Liuoville problem with eigen parameter boundary conditions, Inverse Probl. Sci. Eng. 18 (2010), pp. 173–180.
- Shen, CL, and Tsai, TM, 1995. On a uniform approximation of the density function of a string equation using eigenvalues and nodal points and some related inverse nodal problems, Inverse Probl. 11 (1995), pp. 1113–1123.
- Hochstadt, H, 1967. On inverse problems associated with second-order differential operators, Acta Math. 119 (1967), pp. 173–192.
- Ashbaugh, MS, and Benguira, RD, 1993. Eigenvalue ratios for Sturm–Liouville operators, J. Differ. Eqns 103 (1993), pp. 205–219.