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Matematicheskie Zametki, 2018, Volume 104, Issue 3, Pages 345–355
DOI: https://doi.org/10.4213/mzm12109 (Mi mzm12109) 		 
Defect Numbers of the Dirichlet Problem for a Properly Elliptic Sixth-Order Equation

A. O. Babayan, S. O. Abelyan

National Polytechnic University of Armenia
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DOI: https://doi.org/10.4213/mzm12109
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.
Keywords: properly elliptic equations, boundary value problems, Dirichlet problem, defect numbers.
Received: 12.12.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 3, Pages 339–347
DOI: https://doi.org/10.1134/S0001434618090031
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. O. Babayan, S. O. Abelyan, “Defect Numbers of the Dirichlet Problem for a Properly Elliptic Sixth-Order Equation”, Mat. Zametki, 104:3 (2018), 345–355; Math. Notes, 104:3 (2018), 339–347
Citation in format AMSBIB
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