Technical stability in a straight pipeline containing a flowing liquid
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Keywords
Mathematical Modeling Mechanical Engineer Industrial Mathematic Flowing Liquid Technical Stability
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Literature cited
- 1.N. G. Chetaev, Stability of Motion; Papers on Analytical Mechanics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).Google Scholar
- 2.K. A. Karacharov and A. G. Pilyutik, Introduction to the Technical Theory of Motion Stability [in Russian], Fizmatgiz, Moscow (1972).Google Scholar
- 3.F. D. Bairamov, “Technical stability in a system having distributed parameters subject to constantly acting perturbations,” Izv. Vyssh. Uchebn. Zaved., Aviats. Tekh., No. 2 (1974).Google Scholar
- 4.T. K. Sirazetdinov, “The Lyapunov-function method in researching processes with after effects,” in: A Direct Method with Applications in Stability Theory [in Russian], Nauka, Novosibirsk (1981).Google Scholar
- 5.N. F. Kirichenko, Some Aspects of Motion Stability and Controllability [in Russian], Izd. Kiev. Univ., Kiev (1972).Google Scholar
- 6.K. S. Matviichuk, “Notes on the comparison method for a differential-equation system with rapidly rotating phase,” Ukr. Mat. Zh.,34, No. 4 (1982).Google Scholar
- 7.K. S. Matviichuk, “A comparison principle for the equation for a system of coupled bodies containing damping components,” Ukr. Mat. Zh.,34, No. 5 (1982).Google Scholar
- 8.K. S. Matviichuk, “Technical stability in a system of coupled bodies containing damping components,” Prikl. Mekh.,19, No. 5 (1983).Google Scholar
- 9.K. S. Matviichuk, “The comparison method for differential equations close to hyperbolic,” Differents. Uravn.,20, No. 11 (1984).Google Scholar
- 10.K. S. Matviichuk, “Technical stability in certain distributed-parameter systems,” Prikl. Mekh.,21, No. 8 (1985).Google Scholar
- 11.K. S. Matviichuk, “Technical stability in a dynamic system containing slow and fast motions,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2 (1986).Google Scholar
- 12.K. S. Matviichuk, “Inequalities for solving some nonlinear partial differential equations,” Mat. Fiz. Nelinein. Mekh., No. 5 (39) (1986).Google Scholar
- 13.K. S. Matviichuk, “Technical stability in parametrically excited distributed processes,” Prikl. Mat. Mekh.,50, No. 2 (1986).Google Scholar
- 14.K. S. Matviichuk, “The stability of a rectilinear pipeline containing a flowing liquid,” in: Problems in Pipeline Transport for Oil and Gas: Abstracts for the All-Union Conference, Ivano-Frankovsk (1985).Google Scholar
- 15.K. S. Matviichuk, “Stability conditions for nonlinear parametrically excited distributed processes,” Vychisl. Prikl. Mat., No. 58 (1986).Google Scholar
- 16.K. S. Matviichuk, “Technical stability in nonlinear parametrically excited distributed processes,” Differents. Uravn.,22, No. 11 (1986).Google Scholar
- 17.K. S. Matviichuk, “Conditions for technical stability in a nonlinear evolving system,” Vychisl. Prikl. Mat., No. 66 (1988).Google Scholar
- 18.K. S. Matviichuk, “Technical stability in parametrically excited distributed processes,” Mat. Metody Fiz.-Mekh. Polya, No. 26 (1987).Google Scholar
- 19.V. I. Feodos'ev, “Oscillations and stability in a tube containing a flowing liquid,” Inzh. Sb.,10 (1951).Google Scholar
- 20.A. A. Movchan, “A stability problem for a tube containing a flowing liquid,” Prikl. Mat. Mekh.,29, No. 4 (1965).Google Scholar
- 21.V. A. Svetlitskii, The Mechanics of Pipelines and Hoses [in Russian], Mashinostroenie, Moscow (1982).Google Scholar
- 22.R. A. Stein and M. V. Tobriner, “Oscillations in a tube containing a flowing liquid,” Prikl. Mekh., No. 4 (1970).Google Scholar
- 23.V. Ya. Skorobogat'ko, Researches on the Qualitative Theory of Partial Differential Equations [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
- 24.V. V. Vlasov, General Shell Theory with Applications in Engineering [in Russian], Gostekhizdat, Moscow-Leningrad (1949).Google Scholar
- 25.V. I. Zubov, Lyapunov's Methods and Their Applications [in Russian], Izd. LGU, Leningrad (1957).Google Scholar
- 26.K. G. Valeev and G. S. Finin, Constructing Lyapunov Functions [in Russian], Naukova, Dumka, Kiev (1981).Google Scholar
- 27.H. Leipholz, Stability of Elastic Systems, Sijthoff et Noordhoff, Alphen aan den Rijn (1980).Google Scholar
- 28.J. Szarski, Differential Inequalities, PVN, Warsaw (1967).Google Scholar
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