Ukrainian Mathematical Journal

, Volume 42, Issue 3, pp 375–376 | Cite as

Self-adjointness of a certain integrodifferential operator

  • I. A. Lukovskii
  • A. N. Timokha
Brief Communications


The self-adjointness of an integrodifferential operator, arising in the theory of stability of capillary-sonic equilibrium forms, is proved.


Equilibrium Form Integrodifferential Operator 
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Literature cited

  1. 1.
    I. A. Lukovskii and A. N. Timokha, “On the problem of control of the free surface of a bounded volume of a liquid by means of sound,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 7, 52–55 (1989).Google Scholar
  2. 2.
    A. D. Myshkis (ed.), Zero-Gravity Hydromechanics [in Russian], Nauka, Moscow (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • I. A. Lukovskii
    • 1
  • A. N. Timokha
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the Ukrainian SSRKiev

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