Advertisement

Siberian Mathematical Journal

, Volume 33, Issue 1, pp 19–23 | Cite as

Jointly dissipative operators and their applications

  • V. I. Verbitskii
  • A. N. Gorban'
Article
  • 19 Downloads

Keywords

Dissipative Operator 
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.

Literature Cited

  1. 1.
    V. I. Verbitskii and A. N. Gorban', “Thermodynamic constraints and quasithermodynamicity conditions in chemical kinetics,” in: Mathematical Problems of Chemical Kinetics [in Russian], Nauka, Novosibirsk (1989), pp. 42–83.Google Scholar
  2. 2.
    V. I. Verbitskii, “Jointly dissipative operators and their applications in the investigation of nonlinear system,” Candidate's Dissertation, Vychisl. Tsentr Sib. Otdel. Akad. Nauk SSSR, Krasnoyarsk (1987).Google Scholar
  3. 3.
    V. I. Verbitskii, A. N. Gorban', and G. Sh. Utyubaev, “The Moore effect in interval spaces,” Dokl. Akad. Nauk SSSR,304 No. 1, 17–21 (1989).Google Scholar
  4. 4.
    G. R. Belitskii and Yu. I. Lyubich, Matrix Norms and Their Applications [in Russian], Naukova Dumka, Kiev (1984).Google Scholar
  5. 5.
    S. M. Lozinskii, “Estimation of the errors of numerical integration of ordinary differential equations,” Izv. Vyssh. Uchebn. Zaved., Ser. Mat., No. 5, 52–90 (1958).Google Scholar
  6. 6.
    B. V. Bylov, R. E. Vinograd, D. M. Grobman, and V. V. Nemytskii, The Theory of Lyapunov Exponents [in Russian], Nauka, Moscow (1966).Google Scholar
  7. 7.
    B. P. Demidovich, Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).Google Scholar
  8. 8.
    I. Kaplansky, Lie Algebras and Locally Compact Groups, The Univ. of Chicago Press, Chicago (1971).Google Scholar
  9. 9.
    L. Cesari, Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Third edition, Springer, New York (1971).Google Scholar
  10. 10.
    Yu. S. Il'yashenko, “Weakly contractive systems and attractors of Galerkin approximations of the Navier-Stokes equations on the two-dimensional torus,” Usp. Mekh.,5, Nos. 1-2, 32–63 (1983).Google Scholar
  11. 11.
    Yu. S. Il'yashenko and A. N. Chetaev, “On the dimension of attractors for one class of dissipative systems,” Prikl. Mat. Mekh.,46, No. 3, 374–381 (1982).Google Scholar
  12. 12.
    N. N. Krasovskii, “Sufficient conditions for the stability of solutions of a system of nonlinear differential equations,” Dokl. Akad. Nauk SSSR,98, No. 6, 901–904 (1954).Google Scholar
  13. 13.
    V. M. Cheresiz, “Stable and conditionally stable almost-periodic solutions of V-monotone system,” Sib. Mat. Zh.,15, No. 1, 162–176 (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • V. I. Verbitskii
  • A. N. Gorban'

There are no affiliations available

Personalised recommendations