Defect Numbers of the Dirichlet Problem for a Properly Elliptic Sixth-Order Equation
- Authors: Babayan A.O.1, Abelyan S.O.1
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Affiliations:
- National Polytechnic University of Armenia
- Issue: Vol 104, No 3-4 (2018)
- Pages: 339-347
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151319
- DOI: https://doi.org/10.1134/S0001434618090031
- ID: 151319
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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.
About the authors
A. O. Babayan
National Polytechnic University of Armenia
Author for correspondence.
Email: barmenak@gmail.com
Armenia, Yerevan, 0009
S. O. Abelyan
National Polytechnic University of Armenia
Email: barmenak@gmail.com
Armenia, Yerevan, 0009