References
- Akdogan Z, Demirci M, Mukhtarov OSh. Discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary and transmissions conditions. Acta Appl. Math. 2005;86:329–344.
- Amirov RKh. On system of Dirac differential equations with discontinuity conditions inside an interval. Ukrainian Math. J. 2005;57:712–727.
- Amirov RKh, Ozkan AS, Keskin B. Inverse problems for impulsive Sturm-Liouville operator with spectral parameter linearly contained in boundary conditions. Int. Trans. Special Funct. 2009;20:607–618.
- Anderssen RS. The effect of discontinuities in density and shear velocity on the asymptotic overtone structure of torsional eigenfrequencies of the Earth. Geophys. J. R. Astr. Soc. 1997;50:303–309.
- Binding PA, Browne PJ, Watson BA. Inverse spectral problems for Sturm-Liouville equations with eigenparameter dependent boundary conditions. J. London Math. Soc. 2000;62:161–182.
- Binding PA, Browne PJ, Watson BA. Equivalence of inverse Sturm-Liouville problems with boundary conditions rationally dependent on the eigenparameter. J. Math. Anal. Appl. 2004;29:246–261.
- Freiling G, Yurko V. Inverse Sturm-Liouville problems and their applications. Huntington (NY): Nova Science; 2001.
- Fulton CT. Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proc. R. Soc. Edinburgh A. 1977;77:293–308.
- Fulton CT. Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions. Proc. R. Soc. Edinburgh A. 1980;87:1–34.
- Guseinov IM. On the representation of Jost solutions of a system of Dirac differential equations with discontinuous coefficients. Izv. Akad. Nauk Azerb. SSR. 1999;5:41–45.
- Hald OH. Discontinuous inverse eigenvalue problems. Comm. Pure Appl. Math. 1984;37:539–577.
- Keskin B, Ozkan AS. Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions. Acta Math. Hungarica. 2011;130:309–320.
- Maeve McCarthy C, Rundell W. Eigenparameter dependent inverse Sturm-Liouville problems. Numer. Funct. Anal. Optim. 2003;24:85–105.
- van der Mee C, Pivovarchik VN. A Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter. Funct. Anal. Appl. 2002;36:315–317. Translated from Funktsional’nyi Analiz i Ego Prilozheniya. 2002;36:74–77.
- Mennicken R, Schmid H, Shkalikov AA. On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. Math. Nachr. 1998;189:157–170.
- Rundell W, Sacks P. Numerical technique for the inverse resonance problem. J. Comput. Appl. Math. 2004;170:337–347.
- Yurko VA. Integral transforms connected with discontinuous boundary value problems. Integral Trans. Spec. Funct. 2000;10:141–164.
- Yurko VA. Inverse spectral problems for differential operators and their applications. Vol. 2, Analytical methods and special functions. Amsterdam: Gordon and Breach;2000.
- Gasymov MG. Inverse problem of the scattering theory for Dirac system of order 2n. Tr. Mosk. Mat. Obshch. 1968;19:41–112. Basel: Birkhauser; 1997.
- Gasymov MG, Dzhabiev TT. Determination of a system of Dirac differential equations using two spectra. In: Proceedings of School-Seminar on the Spectral Theory of Operators and Representations of Group Theory. Baku: Elm; 1975. p. 46–71. Russian.
- Levitan BM, Sargsyan IS. Sturm-Liouville and Dirac operators. Moscow: Nauka; 1988. Russian.
- Gesztesy F, Simon B. Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum. Trans. Amer. Math. Soc. 2000;352:2765–2787.
- Ahlfors LV. Complex analysis. New York (NY): McGraw-Hill; 1979.
- Levin BYa. Lectures on entire functions. Vol. 150, Translations of mathematical monographs. Providence (RI): Amer. Math. Soc.; 1996.
- Hochstadt H, Lieberman B. An inverse Sturm-Liouville problem with mixed given data. SIAM J. Appl. Math. 1978;34:676–680.
- Mochizuki K, Trooshin I. Inverse problem for interior spectral data of the Dirac operator on a finite interval. Publ. RIMS Kyoto Univ. 2002;38:387–395.