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1. Kollatts L. Zadachi na sobstvennye znacheniya s tekhnicheskimi prilozheniyami. M.: Nauka, 1968.
2. Birman M.Sh., Solomyak M.Z. Estimates for the number of negative eigenvalues of the Schrodinger operator and its generalizations // Advances in Soviet Math. 1991. V. 7. P. 1–55.
3. Binding P., Moller M. Negativity indices for definite and indefinite Sturm-Liouville problems // Math. Nachr. 2010. V. 283, №2. P. 180–192.
4. Tikhonov A.N., Samarskij A.A. Uravneniya matematicheskoj fiziki. M.: Nauka, 1977.
5. Vibratsii v tekhnike: Spravochnik. T. 1. Kolebaniya linejnykh sistem . Pod red. V.V. Bolotina. M.: Mashinostroenie, 1999.
6. Strauss W. Partial Differential Equations: An Introduction. N.Y.: Wiley, 2008.
7. Khartman F. Obyknovennye differentsial'nye uravneniya. M.: Mir, 1970.
8. Haberman R. Applied Partial Differential Equations. NJ.: Pearson, 2012.
9. Glazman I.M. Pryamye metody kachestvennogo spektral'nogo analiza singulyarnykh differentsial'nykh operatorov. M.: Fizmatlit, 1963.
10. Akhiezer N.I., Glazman I.M. Teoriya linejnykh operatorov v gil'bertovom prostranstve. M.: Nauka, 1966.
11. Moszynski K. A method of solving the boundary value problem for a system of linear ordinary differential equations // Algorytmy. 1964. V. 11, №2. P. 25–43.
12. Najmark M.A. Linejnye differentsial'nye operatory. M.: Nauka, 1969.
13. Greenberg L. A Prufer Method for Calculating Eigenva1ues of BeI-AS; Systems of Ordinary Differential Equations // i^^ege^ of Maryland TeSsh^! Report TR91-24. 1991.
14. Kong Q., Wu H., Zettl A. Dependence of tire nth V^pp-'yushaPe Eigenva1ue on the Prob1em // Journal of Differential Equations. 1999. V. 156. P. 328–354.
15. Wang G., Wang Z., Wu H. Computing tire ind^s of V^pp-'yutaPe eigenva1ues for coup1ed boundary conditions (tire EIGENIND-SLP codes) // Journal of Computational and App^d Mathematics. 2008. V. 220. P. 490–507.
16. Eastham M. Theory of Ordinary Differential Equations. L.: Van Nostrand, 1970.
17. Arnol'd V.I. O kharakteristicheskom klasse, vkhodyaschem v usloviya kvantovaniya // Funkts. anal. i ego pril. 1967. T. 1. Vyp. 1. S. 1–14.
18. Arnol'd V.I. Teoremy Shturma i simplekticheskaya geometriya // Funkts. anal. i ego pril. 1985. T. 19. Vyp. 4. S. 1–10.
19. Atkinson F. Diskretnye i nepreryvnye granichnye zadachi. M.: Mir, 1968.
20. Abramov A.A. Ob otyskanii sobstvennykh znachenij i sobstvennykh funktsij samosopryazhennoj differentsial'noj zadachi // Zh. vychisl. matem. i matem. fiz. T. 31, 1991, №6, S. 819–831.