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Defect Numbers of the Dirichlet Problem for a Properly Elliptic Sixth-Order Equation

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Abstract

The Dirichlet problem for a class of properly elliptic sixth-order equations in the unit disk is considered. Formulas for determining the defect numbers of this problem are obtained. Linearly independent solutions of the homogeneous problem and conditions for the solvability of the inhomogeneous problem are given explicitly.

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Authors and Affiliations

  1. National Polytechnic University of Armenia, Yerevan, 0009, Armenia

    A. O. Babayan & S. O. Abelyan

Authors
  1. A. O. Babayan
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  2. S. O. Abelyan
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Correspondence to A. O. Babayan.

Additional information

To Nikolai Karapetovich Karapetyants, a wonderful mathematician and an amazing person, with love and appreciation from the authors.

Original Russian Text © A. O. Babayan, S. O. Abelyan, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 3, pp. 345–355.

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Babayan, A.O., Abelyan, S.O. Defect Numbers of the Dirichlet Problem for a Properly Elliptic Sixth-Order Equation. Math Notes 104, 339–347 (2018). https://doi.org/10.1134/S0001434618090031

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  • DOI: https://doi.org/10.1134/S0001434618090031

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