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Technical stability in a straight pipeline containing a flowing liquid

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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).

  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).

  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).

  8. K. S. Matviichuk, “Technical stability in a system of coupled bodies containing damping components,” Prikl. Mekh.,19, No. 5 (1983).

  9. K. S. Matviichuk, “The comparison method for differential equations close to hyperbolic,” Differents. Uravn.,20, No. 11 (1984).

  10. K. S. Matviichuk, “Technical stability in certain distributed-parameter systems,” Prikl. Mekh.,21, No. 8 (1985).

  11. K. S. Matviichuk, “Technical stability in a dynamic system containing slow and fast motions,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 2 (1986).

  12. K. S. Matviichuk, “Inequalities for solving some nonlinear partial differential equations,” Mat. Fiz. Nelinein. Mekh., No. 5 (39) (1986).

  13. K. S. Matviichuk, “Technical stability in parametrically excited distributed processes,” Prikl. Mat. Mekh.,50, No. 2 (1986).

  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).

  15. K. S. Matviichuk, “Stability conditions for nonlinear parametrically excited distributed processes,” Vychisl. Prikl. Mat., No. 58 (1986).

  16. K. S. Matviichuk, “Technical stability in nonlinear parametrically excited distributed processes,” Differents. Uravn.,22, No. 11 (1986).

  17. K. S. Matviichuk, “Conditions for technical stability in a nonlinear evolving system,” Vychisl. Prikl. Mat., No. 66 (1988).

  18. K. S. Matviichuk, “Technical stability in parametrically excited distributed processes,” Mat. Metody Fiz.-Mekh. Polya, No. 26 (1987).

  19. V. I. Feodos'ev, “Oscillations and stability in a tube containing a flowing liquid,” Inzh. Sb.,10 (1951).

  20. A. A. Movchan, “A stability problem for a tube containing a flowing liquid,” Prikl. Mat. Mekh.,29, No. 4 (1965).

  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).

  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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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 1, pp. 148–155, January–February, 1990.

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Matviichuk, K.S. Technical stability in a straight pipeline containing a flowing liquid. J Appl Mech Tech Phys 31, 136–142 (1990). https://doi.org/10.1007/BF00852763

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  • DOI: https://doi.org/10.1007/BF00852763

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