Skip to main content
SpringerLink
Log in

On stability of classes of lipschitz mappings generated by compact sets of the space of linear mappings

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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. Reshetnyak Yu. G., Stability Theorems in Geometry and Analysis [in Russian], Nauka, Novosibirsk (1982).

    MATH  Google Scholar 

  2. John F., “Rotation and strain,” Comm. Pure Appl. Math.,14, No. 3, 391–413 (1961).

    Article  MATH  Google Scholar 

  3. Kopylov A. P., “On stability of isometric mappings,” Sibirsk. Mat. Zh.,25, No. 2, 132–144 (1984).

    Google Scholar 

  4. Kopylov A. P., Stability in theC-Norm of Classes of Mappings [in Russian], Nauka, Novosibirsk, (1990).

    Google Scholar 

  5. Egorov A. A., “On stability of classes of affine mappings,” Sibirsk. Mat. Zh.,36, No. 5, 1080–1095 (1995).

    Google Scholar 

  6. Egorov A. A., “Stability of classes of Lipschitz continuous solutions to systems of first order linear differential equations,” Dokl. Akad. Nauk,356, No. 5, 583–587 (1997).

    Google Scholar 

  7. Egorov A. A., “On stability of classes of Lipschitz continuous solutions to systems of first order linear differential equations,” Sibirsk. Mat. Zh.,40, No. 3, 548–553 (1999).

    Google Scholar 

  8. Korobkov M. V., “On one generalization of connectedness and its application to differential calculus and stability theory,” Dokl. Akad. Nauk,363, No. 5, 590–593 (1998).

    MATH  Google Scholar 

  9. Korobkov M. V., “On one generalization of the Darboux theorem to the multidimensional case,” Sibirsk. Mat. Zh.,41, No. 1, 118–133 (2000).

    MATH  Google Scholar 

  10. Bourbaki N., Varietétés Différentielles et Analytiques. Fascicule de Résultats [Russian translation], Mir, Moscow (1975).

    Google Scholar 

Download references

Authors
  1. M. V. Korobkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The research was financially supported by the Russian Foundation for Basic Research (Grant 99-01-00517) and INTAS (Grant IR-97-0170).

Novosibirsk. Translated fromSibirskiî Malematicheskiî Zhurnal, Vol. 41, No. 4, pp. 792–810, July–August, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Korobkov, M.V. On stability of classes of lipschitz mappings generated by compact sets of the space of linear mappings. Sib Math J 41, 656–670 (2000). https://doi.org/10.1007/BF02679691

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02679691

Keywords

Search

Navigation