A DIRICHLET PROBLEM FOR SIXTH ORDER PROPERLY ELLIPTIC EQUATION IN THE CASE OF THREE-MULTIPLE ROOTS OF CHARACTERISTIC EQUATION

A.H. BABAYAN

A DIRICHLET PROBLEM FOR SIXTH ORDER PROPERLY ELLIPTIC EQUATION IN THE CASE OF THREE-MULTIPLE ROOTS OF CHARACTERISTIC EQUATION

Authors

A.H. BABAYAN National Polytechnic University of Armenia Author

Keywords:

Dirichlet problem, defect numbers, polynomial solution, properly elliptic equation

Abstract

The formula for determination of defect numbers of the Dirichet problem for the sixth order properly elliptic equation is obtained. It is supposed that the corresponding characteristic equation has two different roots of the same multiplicity three.

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Published

25.02.2026

Issue

Vol. 1 (2024)

Section

Articles

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A DIRICHLET PROBLEM FOR SIXTH ORDER PROPERLY ELLIPTIC EQUATION IN THE CASE OF THREE-MULTIPLE ROOTS OF CHARACTERISTIC EQUATION

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