DIRICHLET PROBLEM WHEN THE IMAGINARY UNIT IS THE DOUBLE ROOT OF A CHARACTERISTIC EQUATION

Authors

S.H. ABELYAN National Polytechnic University of Armenia Author

Keywords:

Dirichlet problem, defective numbers, nontrivial solutions of homogeneous Dirichlet problem, an improperly elliptic equation

Abstract

The Dirichlet problem in a unit disc for a sixth order improperly 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 case when is the double root of the characteristic equation is considered. The conditions for the solvability and solution of the homogeneous problem are determined in an explicit form.

Downloads

pdf

Published

13.04.2026

Issue

Section

Articles

Most read articles by the same author(s)

A.H. BABAYAN, S.H. ABELYAN, THE DIRICHLET PROBLEM FOR A PROPERLY ELLIPTIC EQUATION OF THE SIXTH ORDER IN THE UNIT DISC , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)

Similar Articles

S..SH. BALASANYAN , V.S. BALASANYAN , H.T. GEVORGYAN, AN APPROXIMATE SOLUTION OF THE PROBLEM OF COMPLEX COMPUTER SYSTEMS OPTIMAL REDUNDANCY , Proceedings of Annual Conferences of NPUA: Vol. 1 (2023)
H.S. SUKIASYAN, OPTIMIZATION OF MATRICES GENERATED BY TRIANGULATIONS AT NUMERICAL CALCULATION OF THE ELECTROMAGNETIC FIELD , Proceedings of Annual Conferences of NPUA: Vol. 1 (2022)
H.S. SUKIASYAN, TRANSITION FROM A DIFFERENTIAL EQUATION TO FINITE SYSTEM OF EQUATIONS WITH A FINITE NUMBER OF UNKNOWNS USING THE EXAMPLE OF TWO-DIMENSIONAL ELECTROMAGNETIC FIELD , Proceedings of Annual Conferences of NPUA: Vol. 1 (2025)
G.H. TOROSYAN, A.R. HUNANYAN, M.Z. PETROSYAN, EXTRACTION OF PHENOL FROM AQUEOUS SOLUTIONS BY MODIFIED POMEGRANATE PEEL , Proceedings of Annual Conferences of NPUA: Vol. 2 (2019)
H.A. TSHATSHAPANYAN, A.DJ. TOMEYAN, DEVELOPING AN ALGORITHM FOR SOLVING THE FORECASTING PROBLEM WITH ARTIFICIAL NEURAL NETWORKS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2025)
G.B. GRIGORYAN, A.ZH. KHACHATRYAN, A.E. MANUKYAN, H.R. AVETISYAN, A.I. SOGHOMONYAN, SIZE QUANTIZATION OF HOLES IN A THIN FILM , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)
S. M. BAKHSHAN, S.A. MKRTCHYAN, S.V. MAMYAN, SOLVING THE MARKETING LOGISTICS PROBLEM OF SULFUR SALES IN COPPER PRODUCTION , Proceedings of Annual Conferences of NPUA: Vol. 1 (2024)
A.A. GRIGORYAN, THE MODEL OF HYPERRATIONAL NUMBERS WITH SELECTIVE ULTRAFILTER , Proceedings of Annual Conferences of NPUA: Vol. 1 (2020)
L.S. MANUKYAN, S.D. MANUKYAN, MEMORY OF THE IMPACT OF MAGNETIC FIELD IN MACROMOLECULE SOLUTIONS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2018)
S.SH. BALASANYAN, H.M. GEVORGYAN, A SIMULATION MODEL FOR OPTIMIZATION OF THE REAGENT MODE OF COPPER-MOLYBDENUM ORE FLOTATION, CONSIDERING THE RANDOM FACTORS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2018)

Previous 11-20 of 164 Next

You may also start an advanced similarity search for this article.