Skip to main content
SpringerLink
Log in

On the upper bound of uniformly bounded solutions

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

New conditions of uniform boundedness of solutions are obtained and methods for calculating upper bounds are suggested.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. T. Yoshizava, “Liapunov's function and boundedness of solutions,”Funktial. Ekvac.,2, 71–103 (1959).

    Google Scholar 

  2. E. V. Voskresenskii, “On uniform boundedness of solutions,”Differents. Uravn.,24, No. 2, 346–348 (1988).

    Google Scholar 

  3. L. D. Kudryavtsev, “On some mathematical problems of the theory of electrical circuits,”Usp. Mat. Nauk,3, No. 4 (26), 80–118 (1948).

    Google Scholar 

  4. E. A. Chernoivanova,Mathematical Simulation in Electrical Engineering and Methods of Integrating Differential Equations of Electrical Circuits [in Russian], Candidate's Degree Thesis (Physics and Mathematics), Saransk (1990).

  5. E. V. Voskresenskii and E. A. Chernoivanova, “Asymptotic properties of differential equations of electrical circuits,” in:Comparison Methods and Lyapunov Methods [in Russian], Saransk (1990), pp. 106–110.

  6. E. V. Voskresenskii,Comparison Methods in Nonlinear Analysis [in Russian], Saratov University, Saratov (1990).

    Google Scholar 

  7. N. Rouche, P. Habets, and M. Laloy,Stability Theory by Liapunov's Direct Method, Appl. Math. Sci.,22, Springer (1977).

Download references

Author information

Authors and Affiliations

  1. Mordoviya University, Saransk

    E. V. Voskresenskii

Authors
  1. E. V. Voskresenskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 501–505, May, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voskresenskii, E.V. On the upper bound of uniformly bounded solutions. Ukr Math J 46, 533–538 (1994). https://doi.org/10.1007/BF01058516

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01058516

Keywords

Search

Navigation