|
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References
|
|
| |
| 1. |
A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Inverse problem for an operator pencil with nonseparated boundary conditions”, Eurasian Math. J., 1:2 (2010), 5–16    |
| 2. |
A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions”, Eurasian Math. J., 3:4 (2012), 10–22 |
| 3. |
N. Bondarenko, “Spectral analysis for the matrix Sturm–Liouville operator on a finite interval”, Tamkang J. Math., 42:3 (2011), 305–327   |
| 4. |
N. P. Bondarenko, “Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm–Liouville operator”, Funct. Anal. Appl., 46:1 (2012), 53–57  |
| 5. |
S. A. Buterin, “On half inverse problem for differential pencils with the spectral parameter in boundary conditions”, Tamkang J. Math., 42:3 (2011), 355–364 |
| 6. |
S. A. Buterin, V. A. Yurko, “Inverse spectral problem for pencils of differential operators on a finite interval”, Vestnik Bashkir. Univ., 2006, no. 4, 8–12 (in Russian) |
| 7. |
S. A. Buterin, V. A. Yurko, “Inverse problems for second-order differential pencils with Dirichlet boundary conditions”, J. Inverse Ill-Posed Probl., 20:5–6 (2012), 855–881 |
| 8. |
D. Chelkak, E. Korotyaev, “Weyl-Titchmarsh functions of vector-valued Sturm–Liouville operators on the unit interval”, J. Func. Anal., 257 (2009), 1546–1588 |
| 9. |
G. Freiling, V. Yurko, Inverse Sturm–Liouville problems and their applications, Nova Science Publishers, Huntington, NY, 2001, 305 pp. |
| 10. |
M. G. Gasymov, G. Sh. Gusejnov, “Determination of diffusion operator from spectral data”, Akad. Nauk Azerb. SSR. Dokl., 37 (1981), 19–23 |
| 11. |
R. Hryniv, N. Pronska, “Inverse spectral problems for energy-dependent Sturm–Liouville equations”, Inverse Problems, 28 (2012), 085008, 21 pp.  |
| 12. |
M. Yu. Ignatiev, V. A. Yurko, “Numerical methods for solving inverse Sturm–Liouville problems”, Results in Mathematics, 52:1–2 (2008), 63–74 |
| 13. |
M. Jaulent, C. Jean, “The inverse $s$-wave scattering problem for a class of potentials depending on energy”, Comm. Math. Phys., 28 (1972), 177–220 |
| 14. |
M. V. Keldysh, “On eigenvalues and eigenfunctions of some classes of nonselfadjoint equations”, Dokl. Akad. Nauk. SSSR, 77 (1951), 11–14 |
| 15. |
M. V. Keldysh, “On the completeness of the eigenfunctions of some classes of nonselfadjoint linear operators”, Russian Math. Surveys, 26:4 (1971), 15–44 |
| 16. |
A. G. Kostyuchenko, A. A. Shkalikov, “Selfadjoint quadratic operator pencils and elliptic problems”, Funk. Anal. i Prilozhen, 17:2 (1983), 38–61 ; English transl.: Funct. Anal. Appl., 17 (1983), 109–128 |
| 17. |
V. A. Marchenko, Sturm–Liouville operators and their applications, Naukova Dumka, Kiev, 1977 (in Russian) ; English transl.: Birkhauser, 1986 |
| 18. |
A. S. Markus, Introduction to the spectral theory of polynomial operator pencils, Translations of Mathematical Monographs, 71, American Mathematical Society, Providence, RI, 1988 ; Translated from the Russian edition: “Shtiints”, Kishinev, 1986 |
| 19. |
Ya. V. Mykytyuk, N. S. Trush, “Inverse spectral problems for Sturm-Liouville operators with matrix-valued potentials”, Inverse Problems, 26 (2010), 015009 |
| 20. |
N. Pronska, “Reconstruction of energy-dependent Sturm–Liouville equations from two spectra”, Integral Equations and Operator Theory, 76:3 (2013), 403–419 |
| 21. |
A. A. Shkalikov, “Boundary value problems for ordinary differential equations with a parameter in the boundary conditions”, Trudy Sem. Petrovsk., 9, 1983, 190–229 (in Russian) |
| 22. |
M. Yamamoto, “Inverse eigenvalue problem for a vibration of a string with viscous drag”, J. Math. Anal. Appl., 152 (1990), 20–34 |
| 23. |
V. A. Yurko, “On boundary value problems with the parameter in the boundary conditions”, Izvestjya AN SSR. Ser. Matem., 19 (1984), 398–409 |
| 24. |
V. A. Yurko, “An inverse problem for systems of differential equations with nonlinear dependence on the spectral parameter”, Diff. Uravneniya, 33:3 (1997), 390–395 (in Russian) ; English transl.: Diff. Equ., 33:3 (1997), 388–394 |
| 25. |
V. A. Yurko, “An inverse problem for pencils of differential operators”, Matem. Sbornik, 191:10 (2000), 137–160 |
| 26. |
V. A. Yurko, Method of spectral mappings in the inverse problems theory, Inverse and Ill-posed Problems Series, VSP, Utrecht, 2002 |
| 27. |
V. A. Yurko, “Inverse problems for the matrix Sturm–Liouville equation on a finite interval”, Inverse Problems, 22 (2006), 1139–1149 |
