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On boundary value problem solvability theory for a class of high-order operator-differential equations

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Abstract

In this note, we establish sufficient conditions for the correct and unique solvability of various boundary value problems for a class of even-order operator-differential equations on the half-axis. These conditions are unimprovable in terms of operator coefficients of the equation. We note that the principal part of the equation under study suffers a discontinuity.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of the Azerbaijan Academy of Sciences, Baku State University, Baku, Russia

    A. R. Aliev

  2. Baku State University, Baku, Azerbaijan

    S. S. Mirzoev

Authors
  1. A. R. Aliev
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  2. S. S. Mirzoev
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Correspondence to A. R. Aliev.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 44, No. 3, pp. 63–65, 2010

Original Russian Text Copyright © by A. R. Aliev and S. S. Mirzoev

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Aliev, A.R., Mirzoev, S.S. On boundary value problem solvability theory for a class of high-order operator-differential equations. Funct Anal Its Appl 44, 209–211 (2010). https://doi.org/10.1007/s10688-010-0025-y

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  • DOI: https://doi.org/10.1007/s10688-010-0025-y

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