|
|
|
|
References
|
|
| |
| 1. |
Marchenko V. A., Sturm – Liouville operators and their applications, Birkhäuser, 1986, 393 pp.  |
| 2. |
Levitan B. M., Inverse Sturm – Liouville problems, VNU Sci. Press, Utrecht, 1987, 246 pp. |
| 3. |
Yurko V. A., Method of Spectral Mappings in the Inverse Problem Theory. Inverse and Ill-posed Problems Series, VSP, Utrecht, 2002, 316 pp. |
| 4. |
Golubkov A. A., Makarov V. A., “Inverse spectral problem for a generalized Sturm – Liouville equation with complex-valued coefficients”, Differential Equations, 47:10 (2011), 1514–1519   |
| 5. |
Golubkov A. A., Makarov V. A., “Reconstruction of the coordinate dependence of the diagonal form of the dielectric permittivity tensor of a one-dimensionally inhomogeneous medium”, Moscow University Physics Bulletin, 65:3 (2010), 189–194  |
| 6. |
Angeluts A. A., Golubkov A. A., Makarov V. A., Shkurinov A. P, “Reconstruction of the spectrum of the relative permittivity of the plane-parallel plate from the angular dependences of its transmission coefficients”, JETP Letters, 93:4 (2011), 191–194  |
| 7. |
Levitan B. M., Sargsyan I. S., Sturm – Liouville and Dirac Operators, Mathematics and Its Applications (Soviet Series), 59, Springer, Dordrecht, 1990, 350 pp. |
| 8. |
Ishkin Kh. K., “Necessary Conditions for the Localization of the Spectrum of the Sturm – Liouville Problem on a Curve”, Math. Notes, 78:1 (2005), 64–75 |
| 9. |
Fedoryuk M. V., Asymptotic analysis: linear ordinary differential equations, Springer–Verlag, Berlin, 1993, 363 pp. |
| 10. |
Coddington E. A., Levinson N., Theory of ordinary differential equations, McGraw-Hill, New York, 1955, 429 pp. |
| 11. |
Wasow W., Asymptotic expansions for ordinary differential equations, Dover Publications, New York, 1988, 384 pp. |
| 12. |
Ishkin Kh. K., “Localization criterion for the spectrum of the Sturm – Liouville operator on a curve”, St. Petersburg Mathematical Journal, 28:1 (2017), 37–63 |
| 13. |
Ishkin Kh. K., “On the uniqueness criterion for solutions of the Sturm – Liouville equation”, Math. Notes, 84:4 (2008), 515–528 |
| 14. |
Ishkin Kh. K., “On a trivial monodromy criterion for the Sturm – Liouville equation”, Math. Notes, 94:4 (2013), 508–523 |
