References

  1. Vasilenko M.V., Alekseychuk A.M. Theory of oscillations and stability of motion. Kyiv, Vyshcha Shk., 2004. (in Ukrainian)
  2. Trotsenko V.A. Oscillations of a liquid in mobile containers with ribs. Kiev, Inst. Math. NAS Ukraine, 2006. (in Russian)
  3. Filimonov M.Yu. On the justification of the Fourier method to the solution of nonlinear partial differential equations. Russ. J. Numer. Anal. Math. Modelling 1996, 11 (1), 27-39.
  4. Samoilenko A., Teplinsky Yu. Countable Systems of Differential Equations. Kyiv, Inst. Math. NAS Ukraine, 1993. (in Russian)
  5. Godunov S.K. Equations of mathematical physics. Moskow, Nayka, 1979. (in Russian)
  6. Kambulov V.F., Kolesov A.A. On a certain model hyperbolic equation arising in radio-physics. Matem. Mod. 1996, 8, 93-101. (in Russian)
  7. Berzhanov A.B., Kurmangaliev E.K. Solution of a countable system of quasilinear partial differential equations multiperiodic in a part of variables. Ukrainian Math. J. 2009, 61 (2), 336-345. doi: 10.1007/s11253-009-0202-4 (translation of Ukrain. Math. Zh. 2009, 61 (2), 280-288. (in Ukrainian))
  8. Firman T.I. Solvability of the cauchy problem for countable hyperbolic systems of first order quasilinear equations. Sci. J. Uzhgor. Univ. 2013, 24, 206-213. (in Ukrainian)
  9. Firman T., Kyrylych V. Mixed problem for countable hyperbolic system of linear equations. Azerbaijan J. Math. 2015, 5 (2), 47-60.
  10. Firman T. Truncation of initial-boundary value problem for countable linear hyperbolic system. Visn. Lviv Univ.: Series Mech. Math. 2014., 79, 154-162. (in Ukrainian)
  11. Petrovsky I. G. Lectures on Partial Differential Equations. Interscience Publ., 1954. (in Russian)
  12. Fihtengolc G. M. Differential and Integral Calculs. Moskva, Nauka, 1968. (in Russian)
  13. Mitropolsky Y.A., Khoma G., Gromyak M. Asymptotic Methods for investigating Quasiwave Equations of Hyperbolic Type. Kyiv, Naukova Dumka, 1991. (in Russian)

Refbacks

  • There are currently no refbacks.


Creative Commons License
The journal is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported.