Skip to main content
SpringerLink
Log in

Continuous dependence of theR-solution generated by a differential hyperbolic inclusion on parameters

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

Abstract

We consider conditions under which theR-solution generated by a differential inclusionu xy εF (x, y, u,λ) continuously depends on the parameterλ.

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

References

  1. A. I. Panasyuk and V. I. Panasyuk, “On an equation generated by a differential inclusion,”Mat. Zametki,27, No. 3, 429–437 (1980).

    Google Scholar 

  2. A. A. Tolstonogov, “On the equation of the integral funnel of a differential inclusion,”Mat. Zametki,32, No. 6, 841–852 (1982).

    Google Scholar 

  3. A. A. Tolstonogov,Differential Inclusions in Banach Spaces [in Russian], Nauka, Novosibirsk (1986).

    Google Scholar 

  4. S. P. Rogovchenko, “On continuous dependence ofR-solutions on the parameter and averaging of differential inclusions,” in:Problems of Stability of Integral Manifolds in Equations of Mathematical Physics [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987), pp. 62–68.

    Google Scholar 

  5. A. N. Vityuk, “Equation of the integral funnel of a partial differential inclusion,”Dokl. Ukr. Akad. Nauk, Ser. A, No. 9, 19–20 (1990).

    Google Scholar 

  6. G. Amese, “Sul problema di Darboux in ipotesi di Carathéodory,”Ric. Mat.,12, 13–31 (1963).

    Google Scholar 

  7. M. Dawidowski, “On some generalization of the Bogolyubov averaging theorem,”Funct. Approxim., No. 7, 55–70 (1979).

    Google Scholar 

  8. A. N. Vityuk and S. S. Klimenko, “A theorem of N. N. Bogolyubov for hyperbolic differential inclusions,”Ukr. Mat. Zh.,39, No. 5, 641–645 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Odessa University, Odessa

    A. N. Vityuk

Authors
  1. A. N. Vityuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 10, pp. 1421–1425, October, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vityuk, A.N. Continuous dependence of theR-solution generated by a differential hyperbolic inclusion on parameters. Ukr Math J 47, 1625–1631 (1995). https://doi.org/10.1007/BF01060163

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060163

Keywords

Search

Navigation