References
- Borg, G, 1946. Eine umkehrung der Sturm–Liouvillesehen eigenwertaufgabe, Acta Math. 78 (1946), pp. 1–96.
- Gelfand, IM, and Levitan, BM, 1951. On the determination of a differential equation from its spectral function, Izv. Akad. Nauk SSR. Ser. Mat. 15 (1951), pp. 309–360, (Russian) (English transl. in Amer. Math. Soc. Transl. Ser. 2, 1 (1955), 253–304).
- Gesztesy, F, and Simon, B, 2000. Inverse spectral analysis with partial information on the potential II: The case of discrete spectrum, Trans. Amer. Math. Soc. 352 (6) (2000), pp. 2765–2787.
- Levitan, BM, 1978. On the determination of the Sturm–Liouville operator from one and two spectra, Math. USSR Izv. 12 (1978), pp. 179–193.
- Levitan, BM, and Sargsjan, IS, 1991. Sturm–Liouville and Dirac Operators. Dodrecht, Boston, London: Kluwer Academic Publishers; 1991.
- Pöschel, J, and Trubowitz, E, 1987. Inverse Spectral Theory. Orlando, FL: Academic Press; 1987.
- Browne, PJ, and Sleeman, BD, 1996. Inverse nodal problem for Sturm–Liouville equation with eigenparameter dependent boundary conditions, Inverse Prob. 12 (1996), pp. 377–381.
- Freiling, G, and Yurko, VA, 2010. Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter, Inverse Prob. 26 (2010), p. 17, 055003.
- Freiling, G, and Yurko, VA, 2001. Inverse Sturm–Liouville Problems and Their Applications. New York: NOVA Science Publishers; 2001.
- Hald, OH, and McLaughlin, JR, 1989. Solutions of inverse nodal problems, Inverse Prob. 5 (1989), pp. 307–347.
- Hochstadt, H, 1973. The inverse Sturm–Liouville problem, Comm. Pure Appl. Math. 27 (1973), pp. 715–729.
- Hochstadt, H, and Lieberman, B, 1978. An inverse Sturm–Liouville problem with mixed given data, SIAM J. Appl. Math. 34 (1978), pp. 676–680.
- Horváth, M, 2005. Inverse spectral problems and closed exponential systems, Ann. Math. 162 (2005), pp. 885–918.
- Isaacson, EL, and Trubowitz, E, 1983. The inverse Sturm–Liouville problem I, Comm. Pure Appl. Math. 36 (1983), pp. 767–783.
- Law, CK, and Yang, CF, 1998. Reconstructing the potential function and its derivatives using nodal data, Inverse Prob. 14 (1998), pp. 299–312.
- McLaughlin, JR, 1988. Inverse spectral theory using nodal points as data–A uniqueness result, J. Diff. Eqns 73 (1988), pp. 354–362.
- Pivovarchik, VN, 2006. A special case of the Sturm–Liouville inverse problem by three spectra: uniqueness results, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136 (2006), pp. 181–187.
- Rundell, W, and Sacks, PE, 2001. Reconstruction of a radially symmetric potential from two spectral sequences, J. Math. Anal. Appl. 264 (2001), pp. 354–381.
- Yamamoto, M, 1990. Inverse eigenvalue problem for a vibration of a string with viscous drag, J. Math. Anal. Appl. 152 (1990), pp. 20–34.
- Yang, XF, 1997. A solution of the inverse nodal problem, Inverse Problems 13 (1997), pp. 203–213.
- Yurko, VA, 2000. Inverse Spectral Problems for Differential Operators and Their Applications. Amsterdam: Gordon and Breach; 2000.
- Ramm, AG, 2000. "Property C for ODE and applications to inverse problems". In: Operator theory and applications. Vol. 25. Providence, RI: AMS; 2000. pp. 15–75.
- Ambarzumyan, VA, 1929. Über eine frage der eigenwerttheorie, Zeitschr. Phys. 53 (1929), pp. 690–695.
- Mochizuki, K, and Trooshin, I, 2001. Inverse problem for interior spectral data of Sturm–Liouville operator, J. Inverse Ill-posed Prob. 9 (2001), pp. 425–433.
- Yang, CF, 2009. An interior inverse problem for discontinuous boundary-value problems, Integral Equations and Operator Theory 65 (2009), pp. 593–604.
- Mochizuki, K, and Trooshin, I, 2002. Inverse problem for interior spectral data of the Dirac operator on a finite interval, Publ. RIMS, Kyoto Univ. 38 (2002), pp. 387–395.
- Agranovich, MS, 2001. Spectral problems for the Dirac system with spectral parameter in local boundary conditions, Funct. Anal. Appl. 35 (2001), pp. 161–175.
- Amirov, RKh, Keskin, B, and Ozkan, AS, 2009. Direct and inverse problems for the Dirac operator with a spectral parameter linear contained in a boundary condition, Ukrainian Math. J. 61 (2009), pp. 1365–1379.
- Yang, CF, 2011. Hochstadt-Lieberman theorem for Dirac operator with eigenparameter dependent boundary conditions, Nonlinear Analysis Series A: Theory Methods Appl. 74 (2011), pp. 2475–2484.
- Kerimov, NB, 2002. A boundary value problem for the Dirac system with a spectral parameter in the boundary conditions, Diff. Eqns 38 (2) (2002), pp. 164–174, (Translated from Diff. Uravneniya, 2 (2002), 155–164.
- Marchenko, VA, 1952. Some questions in the theory of one-dimensional linear differential operators of the second order, I, Trudy Moscov. Mat. Obsc. 1 (1952), pp. 327–420, (in Russian) (Amer. Math. Soc. Transl., Ser. 2 101, 1–104 (1973)).
- Levin, BJa, 1964. "Distribution of Zeros of Entire Functions". In: AMS Translations. Vol. 5. RI: MR 19, AMS, Providence; 1964. p. 403.