REFERENCES
Emel'yanov, I.Ya., Gavrilov, P.A., and Seliverstov, B.N., Upravlenie i bezopasnost' yadernykh energeti-cheskikh reaktorov (Control and Safety of Nuclear Power Reactors), Moscow, 1975.
Gorbunov, V.P. and Shikhov, S.B., Nelineinaya dinamika yadernykh reaktorov (analiz metodami A.M.Lyapunova) (Nonlinear Dynamics of Nuclear Reactors (Analysis by Lyapunov Methods)), Moscow, 1975.
Kryanev, A.V. and Shikhov, S.B., Voprosy matematicheskoi teorii reaktorov. Nelineinyi analiz (Problems of Mathematical Theory of Reactors. Nonlinear Analysis), Moscow, 1983.
Khitchkok, A., Ustoichivost' yadernykh reaktorov (Stability of Nuclear Reactors), Moscow, 1963.
Randall, D. and Johns, D.S., Nucleonics, 1958, vol. 16, no. 13, pp. 82–86.
Pinegin, A.A. and Shikhov, S.B., Fizika Yadernykh Reaktorov, 1978, vol. 7, pp. 74–83.
Shikhov, S.B. and Pinegin, A.A., Fizika Yadernykh Reaktorov, 1981, vol. 9, pp. 26–34.
Goryachenko, V.D., Metody issledovaniya ustoichivosti yadernykh reaktorov (Methods for Stability Analysis of Nuclear Reactors), Moscow, 1975.
Sabaev, E.F., Sistemy sravneniya dlya nelineinykh Differentsial'nykh uravnenii i ikh prilozheniya v di-namike reaktorov (Comparison Systems for Nonlinear Differential Equations and Their Applications to Reactor Dynamics), Moscow, 1980.
Makin, R.S., Sbornik Trudov GNTs RF NIIAR, 2002, vol. 3, pp. 3–25.
Funtsional'nyi analiz (Functional Analysis), Krein, S.G., Ed., Moscow, 1972.
Bogomolova, E.P., Differents. Uravn., 1985, vol. 21, no. 11, pp. 1843–1849.
Hille, E. and Phillips, R., Functional Analysis and Semi-Groups, Providence, 1957. Translated under the title Funktsional'nyi analiz i polugruppy, Moscow: Inostrannaya literatura, 1963.
Krasnosel'skii, M.A., Polozhitel'nye resheniya operatornykh uravnenii (Positive Solutions of Operator Equations), Moscow, 1962.
Makin, R.S., Sbornik Trudov GNTs RF NIIAR, 2000, vol. 1, pp. 56–88.
Makin, R.S., Funkts. Analiz i Ego Prilozheniya, 1987, vol. 20, no. 1, pp. 80–81.
Allakhverdiev, Dzh. E. and Gasanov, E.E., Izv. Akad. Nauk AzSSR. Ser. Fiz.-Tekhn. i Mat. Nauk, 1974, no. 5, pp. 54–66.
Makin, R.S., Differents. Uravn., 1988, vol. 24, no. 6, pp. 1053–1055.
Makin, R.S., Funkts. Analiz i Ego Prilozheniya, 1984, vol. 18, no. 4, pp. 88–89.
Makin, R.S. and Shikhov, S.B., Differents. Uravn., 1987, vol. 23, no. 10, pp. 1812–1815.
Garadzhaev, A., Differents. Uravn., 1987, vol. 23, no. 1, pp. 38–47.
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Makin, R.S. Properties of Solutions of a Reactor Dynamics Problem Taking into Account Xenon Oscillations. Differential Equations 40, 839–852 (2004). https://doi.org/10.1023/B:DIEQ.0000046862.67054.7d
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DOI: https://doi.org/10.1023/B:DIEQ.0000046862.67054.7d