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REFERENCES 1. Lyapunov A.M. Obshchaya zadacha ob ustoichivosti dvizheniya [The general problem of the stability of motion]. Vol. 2. Moscow-Leningrad: AS USSR Publ., 1956, pp. 7–263. 2. Chetaev N.G. Ustoichivost' dvizheniya; raboty po analiticheskoi mekhanike [Stability of motion; works on analytical mechanics]. Moscow: AS USSR Publ., 1962, 535 p. 3. Letov A.M. Ustoichivost' reguliruemykh system [Stability of regulated systems]. Moscow: Fizmatgiz Publ., 1962, 483 p. 4. Letov A.M. Matematicheskaya teoriya protsessov upravleniya [Mathematical theory of control processes]. Moscow: Nauka Publ., 1981, 255 p. 5. Zubov V.I. Ustoichivost' dvizheniya [Stability of motion]. Moscow: Vysshaya shkola Publ., 1963, 270 p. 6. Kamenkov V.G. Ustoichivost' dvizheniya; kolebaniya, aerodinamika [Stability of movement; fluctuations, aerodynamics]. Vol. 1. Moscow: Nauka, 1971, 255 p. 7. Kamenkov V.G. Ustoichivost' i kolebaniya nelineinykh system [Stability and oscillations of nonlinear systems]. Vol.2. Moscow: Nauka Publ., 1972, 213 p. 8. Malkin. I.G. Teoriya ustoichivosti dvizheniya [Theory of motion stability]. Moscow: Nauka Publ., 1966, 530 p. 9. Demidovich B.P. Lektsii po matematicheskoi teorii ustoichivosti [Lectures on the mathematical theory of stability]. Moscow: Nauka Publ., 1967, 472p. 10. Merkin D.R. Vvedenie v teoriyu ustoichivosti dvizheniya [Introduction to the theory of motion stability]. Moscow: Nauka Publ., 1971, 312 p. 11. Kuz'min P.A. Malye kolebaniya i ustoichivost' dvizheniya [Small oscillations and stability of motion]. Moscow: Nauka Publ., 1973, 206 p. 12. Gantmakher F.R. Teoriya matrits [Matrix Theory]. Moscow: Nauka Publ., 1967, 576 p. 13. Berezin I.S. Zhidkov N.P. Metody vychislenii [Methods of calculation]. Vol.2. Moscow: Fizmatlit Publ., 1959, 620 p. 14. Novikov M.A. Svyaz' znakoopredelennosti s privedeniem k polnym kvadratam puchka dvukh kvadratichnykh form [The connection of property of having fixed sign with reduction to a complete square of a cluster of two quadratic forms]. Vestnik Buryat. gos. unta. Series: Matematika i informatika [Bulletin of Buryat State University. Series: Mathematics and Informatics], 2015, Issue 9, pp. 7–15.

THE MATHEMATICAL MODEL OF A MECHANICAL DEVICE FOR CENTRALIZED DISCHARGE OF ASH FROM BUNKERS UNDER DIFFERENT PRESSURES