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Solvability of a Boundary Value Problem for Second-Order Elliptic Differential Operator Equations with a Spectral Parameter in the Equation and in the Boundary Conditions

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Abstract

In a Hilbert space H, we study noncoercive solvability of a boundary value problem for second-order elliptic differential-operator equations with a spectral parameter in the equation and in the boundary conditions in the case where the leading part of one of the boundary conditions contains a bounded linear operator in addition to the spectral parameter. We also illustrate applications of the general results obtained to elliptic boundary value problems.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, AZ1141, Azerbaijan

    B. A. Aliev

  2. Azerbaijan State Pedagogical University, Baku, AZ1000, Azerbaijan

    B. A. Aliev & N. K. Kurbanova

  3. Tel-Aviv University, Tel-Aviv, 6697801, Israel

    Ya. Yakubov

Authors
  1. B. A. Aliev
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  2. N. K. Kurbanova
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  3. Ya. Yakubov
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Correspondence to B. A. Aliev.

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Dedicated to our dearest teacher Professor Sasun Yakubovich Yakubov on the occasion of his 80th birthday

Original Russian Text © B.A. Aliev, N.K. Kurbanova, Ya. Yakubov, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 1, pp. 69–87.

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Aliev, B.A., Kurbanova, N.K. & Yakubov, Y. Solvability of a Boundary Value Problem for Second-Order Elliptic Differential Operator Equations with a Spectral Parameter in the Equation and in the Boundary Conditions. Diff Equat 54, 67–85 (2018). https://doi.org/10.1134/S001226611801007X

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  • DOI: https://doi.org/10.1134/S001226611801007X

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