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Self-adjointness of a certain integrodifferential operator

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Abstract

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

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Literature cited

  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).

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  2. A. D. Myshkis (ed.), Zero-Gravity Hydromechanics [in Russian], Nauka, Moscow (1978).

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Authors and Affiliations

  1. Mathematics Institute, Academy of Sciences of the Ukrainian SSR, Kiev

    I. A. Lukovskii & A. N. Timokha

Authors
  1. I. A. Lukovskii
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  2. A. N. Timokha
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 421–423, March, 1990.

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Lukovskii, I.A., Timokha, A.N. Self-adjointness of a certain integrodifferential operator. Ukr Math J 42, 375–376 (1990). https://doi.org/10.1007/BF01057029

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  • DOI: https://doi.org/10.1007/BF01057029

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