Skip to main content
Log in

On Homeomorphisms Realized by Certain Partial Differential Operators

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

For a sufficiently broad class of partial differential operators, we prove a theorem on homeomorphisms. Applications of this theorem to some classical operators are considered.

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

Access this article

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. M. O. Korpusov, Yu. D. Pletner, and A. G. Sveshnikov, “On nonstationary waves in media with anisotropic dispersion,” Zh. Vychisl. Mat. Mat. Fiz., 39, No.6, 1006–1022 (1999).

    Google Scholar 

  2. S. L. Sobolev, “On one new problem in mathematical physics,” Izv. Akad. Nauk SSSR, Ser. Mat., 18, No.1, 3–50 (1954).

    Google Scholar 

  3. S. A. Gabov, New Problems in Mathematical Theory of Waves [in Russian], Nauka, Moscow (1998).

    Google Scholar 

  4. S. I. Lyashko and N. Ya. Vityuk, “Impulse-point control of certain systems with distributed parameters,” Dopov. Akad. Nauk Ukr. RSR, Ser. A, No. 8, 61–63 (1985).

  5. S. I. Lyashko, Generalized Control of Linear Systems [in Russian], Naukova Dumka, Kiev (1998).

    Google Scholar 

  6. I. I. Lyashko, V. P. Didenko, and O. E. Tsitritskii, Filtration of Noises [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  7. M. O. Korpusov, Yu. D. Pletner, and A. G. Sveshnikov, “On quasistationary processes in conducting media without dispersion,” Zh. Vychisl. Mat. Mat. Fiz., 40, No.8, 1237–1249 (2000).

    Google Scholar 

  8. A. I. Kozhanov, Boundary-Value Problems for Odd-Order Equations of Mathematical Physics [in Russian], Novosibirsk University, Novosibirsk (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 12, pp. 1707 – 1716, December, 2004.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nomirovskii, D.A. On Homeomorphisms Realized by Certain Partial Differential Operators. Ukr Math J 56, 2017–2027 (2004). https://doi.org/10.1007/s11253-005-0166-y

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11253-005-0166-y

Keywords

Navigation