Skip to main content
Log in

Extremal problems generated by operator pencils

  • 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

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

Instant access to the full article PDF.

Literature Cited

  1. V. B. Grinev and A. P. Filippoy, Optimazation of Bars by the Spectrum of the Eigenvalues [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  2. I. V. Banichuk, Optimization of Forms of Elastic Bodies [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. N. Olhoff, Optimal Design of Constructions [Russian translation], Mir, Moscow (1981).

    Google Scholar 

  4. E. G. Gol'shtein, The Theory of Duality in Mathematical Programming and Its Applications [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  5. E. H. Rogers, “A minimax theory for overdamped system,” Arch. Rational Mech. Anal.,16, 89–96 (1964).

    Google Scholar 

  6. Yu. Sh. Abramov, “On the theory of nonlinear eigenvalue problems,” Dokl. Akad. Nauk SSSR,212, No. 1, 11–14 (1973).

    Google Scholar 

  7. Yu. Sh. Abramov, “Variational properties of the eigenvalues of certain problems that are nonlinear with respect to the parameter,” Izv. Akad. Nauk Arm. SSR,11, No. 1, 23–29 (1974).

    Google Scholar 

  8. Yu. Sh. Abramov, “Duality in extremal problems generated by special problems for operator pencils,” Dokl. Akad. Nauk SSSR,255 No. 4, 777–780 (1980).

    Google Scholar 

  9. Yu. Sh. Abramov, “Extremal problems generated by spectral problems,” Usp. Mat. Nauk,36, No. 5, 161–162 (1981).

    Google Scholar 

  10. Yu. Sh. Abramov, “Numerical ranges, zones, and spectra of families of self-adjoint operators,” Dokl. Akad. Nauk SSSR,257, No. 5, 1033–1037 (1981).

    Google Scholar 

Download references

Authors

Additional information

N. A. Voznesenskii Leningrad Finance and Economics Institute, Leningrad. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 24, No. 1, pp. 3–20, January–February, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abramov, Y.S. Extremal problems generated by operator pencils. Sib Math J 24, 1–16 (1983). https://doi.org/10.1007/BF00968791

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968791

Keywords

Navigation