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.

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


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