Siberian Mathematical Journal

, Volume 39, Issue 6, pp 1112–1114 | Cite as

On stability of solutions to the Cauchy problem for hyperbolic systems in two independent variables

  • E. V. Vorob'ëva
  • R. K. Romanovskiî
Article

Keywords

Hilbert Space Asymptotic Behavior Cauchy Problem Lyapunov Function Space Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. K. Romanovskiî, “On Riemann matrices of the first and second kind,” Dokl. Akad. Nauk SSSR,267, No. 3, 577–580 (1982).Google Scholar
  2. 2.
    R. K. Romanovskiî, “Exponentially splittable hyperbolic systems in two independent variables,” Mat. Sb.,133, No. 3, 341–355 (1987).Google Scholar
  3. 3.
    R. K. Romanovskiî, “The monodromy operator of a hyperbolic system with periodiccoefficients,” in: Application of Methods of Functional Analysis in Problems of Mathematical Physics [in Russian], Akad. Nauk Ukrain. SSR, Inst. Mat. (Kiev), Kiev, 1987, pp. 47–52.Google Scholar
  4. 4.
    R. K. Romanovskiî, “Averaging hyperbolic equations,” Dokl. Akad. Nauk SSSR,306, No. 2, 286–289 (1989).Google Scholar
  5. 5.
    R. K. Romanovskiî, Riemann matrices of the first and second kind,” Mat. Sb.,127, No. 4, 494–501 (1985).Google Scholar
  6. 6.
    S. G. Kreîn, Linear Differential Equations in Banach Space [in Russian], Nauka, Moscow (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • E. V. Vorob'ëva
  • R. K. Romanovskiî

There are no affiliations available

Personalised recommendations