REFERENCES
Birkhoff, G.D., Trans. Amer. Math. Soc., 1908, vol. 9, pp. 337–395.
Birkhoff, G.D. and Langer, R.E., Proc. Amer. Acad., 1923, vol. 58, pp. 51–128.
Tamarkin, Ya.D., O nekotorykh obshchikh zadachakh teorii obyknovennykh differentsial'nykh uravnenii i razlozhenii proizvol'nykh funktsii v ryady(On Some General Problems in the Theory of Ordinary Differential Equations and Series Expansions of Arbitrary Functions), Petrograd, 1917.
Tamarkin, J., Math. Z., 1927, vol. 27, pp. 1–54.
Keldysh, M.V., Dokl. Akad. Nauk SSSR, 1951, vol. 77, no. 1, pp. 11–14.
Gokhberg, I.Ts. and Krein, M.G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov(Introduction to the Theory of Linear Nonself-Adjoint Operators), Moscow, 1965.
Rasulov, M.L., Metod konturnogo integrala(Methods of Contour Integration), Moscow, 1964.
Il'in, V.A., Uspekhi Mat. Nauk, 1958, vol. 13, no. 1, pp. 87–180.
Il'in, V.A., Uspekhi Mat. Nauk, 1958, vol. 13, no. 2, pp. 61–120.
Il'in, V.A., Differents. Uravn., 1980, vol. 16, no. 5, pp. 771–794.
Il'in, V.A., Dokl. Akad. Nauk SSSR, 1983, vol. 273, no. 4, pp. 789–792.
Il'in, V.A., Dokl. Akad. Nauk SSSR, 1983, vol. 273, no. 5, pp. 1048–1053.
Il'in, V.A., Differents. Uravn., 1986, vol. 22, no. 12, pp. 2059–2071.
Il'in, V.A. and Io, I., Differents. Uravn., 1979, vol. 15, no. 7, pp. 1175–1193.
Hopkins, J.W., Trans. Amer. Math. Soc., 1919, vol. 20, pp. 245–259.
Jacksen, D., Proc. Amer. Acad., 1916, vol.51, pp. 383–417.
Ward, L., Ann. Math., 1925, vol. 26, pp. 21–36.
Ward, L., Amer. J. of Math., 1935, vol. 57, pp. 345–362.
Lidskii, V.B., Trudy Mosk. Mat. Obshch., 1962, vol. 11, pp. 3–35.
Khromov, A.P., Mat. Sb., 1966, vol. 70, no. 3, pp. 310–329.
Khromov, A.P., Mat. Sb., 1977, vol. 102(144), no. 3, pp. 457–472.
Kostyuchenko, A.G. and Shkalikov, A.A., Funkts. Analiz, 1978, vol. 12, no. 4, pp. 24–40.
Shkalikov, A.A., Trudy Sem. im. I.G. Petrovskogo, 1983, vol. 9, pp. 190–229.
Eberhard, W., Math. Z., 1976, no. 146, pp. 213–221.
Vagabov, A.I., Vvedenie v spektral'nuyu teoriyu differentsial'nykh operatorov(Introduction to Spectral Theory of Differential Operators), Rostov-on-Don, 1994.
Vagabov, A.I., Dokl. RAN, 1992, vol. 326, no. 2, pp. 219–223.
Freiling, G., Math. Z., 1984, vol. 188, pp. 55–68.
Freiling, G., Z. Angew. Math. und Mech., 1985, vol. 65, no. 5, pp. 336–338.
Vagabov, A.I., Vestn. Dagest. Nauchnogo Tsentra, 2002, no. 13, pp. 10–15.
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Vagabov, A.I. Regularity Conditions for a Pencil of General Ordinary Differential Operators. Differential Equations 40, 318–328 (2004). https://doi.org/10.1023/B:DIEQ.0000035769.84940.79
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DOI: https://doi.org/10.1023/B:DIEQ.0000035769.84940.79