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

Аннотация

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.