Skip to main content
Log in

A certain property of a system of eigenfunctions on the boundary of the domain and its applications

  • 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

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

Instant access to the full article PDF.

Literature cited

  1. V. I. Plotnikov, “Energy inequality and the overdetermined nature of a system of eigenfunctions,” Izv. Akad. Nauk SSSR, Ser. Mat.,32, No. 4, 743–755 (1968).

    Google Scholar 

  2. V. I. Plotnikov, “On the convergence of finite-dimensional approximations,” Zh. Vychisl. Mat. Mat. Fiz.,8, No. 1, 136–157 (1968).

    Google Scholar 

  3. A. I. Egorov, Optimal Control by Heat and Diffusion Processes [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  4. J.-L. Lions and E. Magenes, Nonhomogeneous Boundary-Value Problems and Their Applications [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  5. Ya. A. Roitberg and Z. G. Sheftel', “Homeomorphism theorem for elliptic systems and its applications,” Mat. Sb.,78, No. 3, 446–472 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Deceased.

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 11, pp. 1566–1568, November, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuzenkov, O.A., Plotnikov, V.I. A certain property of a system of eigenfunctions on the boundary of the domain and its applications. Ukr Math J 41, 1352–1354 (1989). https://doi.org/10.1007/BF01056509

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056509

Navigation