DEFECTIVE NUMBERS OF THE DIRICHLET PROBLEM FOR ONE EQUATION IN THE SIXTH ORDER PARTIAL DERIVATIVES

Authors

S.H. ABALYAN National Polytechnic University of Armenia Author

Keywords:

Dirichlet problem, defective numbers, nontrivial solutions of homogeneous Dirichlet problem, a properly elliptic equation

Abstract

The Dirichlet problem in a unit disc for a sixth order properly elliptic equation is considered. At a certain arrangement of the roots of the characteristic equation, a new formula is obtained for determining the defective numbers. The conditions for the solvability and solution of the homogeneous problem are determined in an explicit form.

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Published

05.05.2026

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