Skip to main content
Log in

Some problems in the comparison method in nonlinear mechanics

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. V. M. Matrosov, “The comparison principle with a Lyapunov vector function. I,” Differents. Uravn.,4, No. 8, 1374–1386 (1968).

    Google Scholar 

  2. A. A. Martynyuk, Stability of Motion of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).

    Google Scholar 

  3. N. V. Azbelev and Z. B. Tsalyuk, “On the Chaplygin problem,” Ukr. Mat. Zh.,10, No. 1, 3–12 (1958).

    Google Scholar 

  4. N. N. Luzin, “On the approximate integration method of Academician S. A. Chaplygin,” Usp. Mat. Nauk,6, No. 6, 3–27 (1951).

    Google Scholar 

  5. T. Wazewski, “Systemes des équations et des inégalités différentielles ordinaires aux deuxiémes membres monotones et leurs applications,” Ann. Soc. Polon. Math.,23, 112–166 (1950).

    Google Scholar 

  6. N. V. Azbelev and Z. B. Tsalyuk, “On integral inequalities. I,” Mat. Sb.,56, No. 3, 325–342 (1962).

    Google Scholar 

  7. N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, The Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).

    Google Scholar 

  8. B. Stachurska, “On a nonlinear integral inequality,” Zeczyty Nauk. Univ. Jagiellonskiego 252, Prace. Mat.,15, 151–157 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 30, No. 6, pp. 823–829, November–December, 1978.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mitropol'skii, Y.A., Martynyuk, A.A. Some problems in the comparison method in nonlinear mechanics. Ukr Math J 30, 621–626 (1978). https://doi.org/10.1007/BF01091391

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01091391

Keywords

Navigation