[1] O. H. Hald, Discontinuous inverse eigenvalue problems, Commun. Pure Appl. Math. 37 (1984) 539-577, https://doi.org/10.1002/cpa.3160370502.
[2] C. Willis, Inverse Sturm-Liouville problems with two discontinuities, Inverse Problems 1 (1985) 263-289, https://doi.org/10.1088/0266-5611/1/3/010.
[3] E. R. Lapwood and T. Usami, Free Oscillations of the Earth, Cambridge University Press, Cambridge, 1981.
[4] A. Neamaty and Y. Khalili, Determination of a di erential operator with discontinuity from interior spectral data, Inverse Probl. Sci. Eng. 22 (2014) 1002-1008, https://doi.org/10.1080/17415977.2013.848436.
[5] M. Shahriari, A. Jodayree Akbarfama and G. Teschl, Uniqueness for inverse Sturm-Liouville problems with a nite number of transmission conditions, J. Math. Anal. Appl. 395 (2012) 19-29, https://doi.org/10.1016/j.jmaa.2012.04.048.
[6] R. Kh. Amirov, On a system of Dirac di erential equations with discontinuity conditions inside an interval, Ukrainian Math. J. 57 (2005) 712-727, https://doi.org/10.1007/s11253-005-0222-7.
[7] C. T. Shieh and V. A. Yurko, Inverse nodal and inverse spectral problems for discontinuous boundary value problems, J. Math. Anal. Appl. 347 (2008) 266-272, https://doi.org/10.1016/j.jmaa.2008.05.097.
[8] C.-F. Yang, Inverse nodal problems of discontinuous Sturm-Liouville operator, J. Di erential Equations 254 (2013) 1992 -2014, https://doi.org/10.1016/j.jde.2012.11.018.
[9] A. S. Ozkan and B. Keskin, Spectral problems for Sturm-Liouville operator with boundary and jump conditions linearly dependent on the eigenparameter, Inverse Probl. Sci. Eng. 20 (2012) 799808, https://doi.org/10.1080/17415977.2011.652957.
[10] A. S. Ozkan and B. Keskin, Inverse nodal problems for Sturm-Liouville equation with eigenparameter-dependent boundary and jump conditions, Inverse Probl. Sci. Eng. 23 (2015) 1306-1312, https://doi.org/10.1080/17415977.20 14.991730.
[11] Y. P. Wang, Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data, Inverse Probl. Sci. Eng. 23 (2015) 1180-1198, https://doi.org/10.1080/17415977.2014.981748.
[12] Y. P. Wang and V. A. Yurko, On the inverse nodal problems for discontinuous Sturm-Liouville operators, J. Di erential Equations 260 (2016) 4086-4109, https://doi.org/10.1016/j.jde.2015.11.004.
[13] E. Bairamov, Y. Aygar and S. Cebesoy, Spectral properties of quadratic pencil of Schrodinger equations with transmission conditions, J. Phys.: Conf. Ser. 1053 (2018) #012062, https://doi.org/10.1088/1742-6596/1053/1/012062.
[14] O. Sh. Mukhtarov and K. Aydemir, Two-linked periodic Sturm-Liouville problems with transmission conditions, Math. Methods Appl. Sci. 44 (2021) 14664-14676, https://doi.org/10.1002/mma.7734.
[15] V. A. Sadovnichi, Y. T. Sultanaev and A. M. Akhtyamov, Solvability theorems for an inverse nonself-adjoint Sturm- Liouville problem with nonseparated boundary conditions, Di er. Equ. 51 (2015) 717-725, https://doi.org/10.1134/S0012266115060026.
[16] S. Mosazadeh, A new approach to asymptotic formulas for eigenfunctions of discontinuous non-selfadjoint Sturm-Liouville operators, J. Pseudo-Di er. Oper. Appl. 11 (2020) 1805-1820, https://doi.org/10.1007/s11868-020-00350-2.
[17] S. A. Buterin and C. T. Shieh, Incomplete inverse spectral and nodal problems for di erential pencils, Results Math. 62 (2012) 167-179, https://doi.org/10.1007/s00025-011-0137-6.
[18] S. Currie and B. A. Watson, Inverse nodal problems for Sturm- Liouville equations on graphs, Inverse Probl. 23 (2007) 2029-2040, https://doi.org/10.1088/0266-5611/23/5/013.
[19] S. Goktas, H. Koyunbakan and T. Gulsen, Inverse nodal problem for polynomial pencil of Sturm-Liouville operator, Math. Methods Appl. Sci. 41 (2018) 7576-7582, https://doi.org/10.1002/mma.5220.