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

被引：0
|
作者：
Babayan, A. O. [1 ]
Abelyan, S. O. [1 ]
机构：
[1] Natl Polytech Univ Armenia, Yerevan 0009, Armenia
来源：
MATHEMATICAL NOTES | 2018年 / 104卷 / 3-4期
关键词：
properly elliptic equations; boundary value problems; Dirichlet problem; defect numbers; SOLVABILITY;
D O I：
10.1134/S0001434618090031
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：339 / 347
页数：9
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