THE DIRICHLET PROBLEM FOR THE NONSTRICTLY HYPERBOLIC EQUATION IN THE UNIT DISC

Authors

A.H. BABAYAN National Polytechnic University of Armenia Author

Keywords:

Dirichlet problem, nonstrictly hyperbolic equation, nontrivial solutions of homogeneous Dirichlet problem, Chebyshev polynomials

Abstract

The Dirichlet problem in a unit disc for a fourth order differential equation is considered. We suppose, that the characteristic equation has one four-multiplicity root. We prove that the problem is uniquely solvable, and the solution is determined explicitly in the form of series by Chebyshev polynomials.

Downloads

pdf

Published

23.03.2026

Issue

Section

Articles

Most read articles by the same author(s)

Similar Articles

A.H. BABAYAN, AN INHOMOGENEOUS DIRICHLET PROBLEM FOR THE HYPERBOLIC EQUATION IN THE UNIT DISC , Proceedings of Annual Conferences of NPUA: Vol. 1 (2020)
S.H. ABELYAN, DIRICHLET PROBLEM WHEN THE IMAGINARY UNIT IS THE DOUBLE ROOT OF A CHARACTERISTIC EQUATION , Proceedings of Annual Conferences of NPUA: Vol. 1 (2019)
S.H. ABALYAN, DEFECTIVE NUMBERS OF THE DIRICHLET PROBLEM FOR ONE EQUATION IN THE SIXTH ORDER PARTIAL DERIVATIVES , Proceedings of Annual Conferences of NPUA: Vol. 1 (2018)
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)
A.H. BABAYAN, T.M. AVANESYAN, ON A DIRICHLET PROBLEM FOR THE PROPERLY ELLIPTIC DIFFERENTIAL EQUATION IN THE CONTINUOUS FUNCTIONS SPACE , Proceedings of Annual Conferences of NPUA: Vol. 1 (2023)
H.M. HAYRAPETYAN, A.D. OHANYAN, A BOUNDARY VALUE PROBLEM WITH AN INFINITE INDEX IN THE HALF-PLANE , Proceedings of Annual Conferences of NPUA: Vol. 1 (2020)
A.H. BABAYAN, A DIRICHLET PROBLEM FOR SIXTH ORDER PROPERLY ELLIPTIC EQUATION IN THE CASE OF THREE-MULTIPLE ROOTS OF CHARACTERISTIC EQUATION , Proceedings of Annual Conferences of NPUA: Vol. 1 (2024)
H.M. HAYRAPETYAN, A.D. OHANYAN, ONE BOUNDARY VALUE PROBLEM WITH AN INFINITE INDEXC , Proceedings of Annual Conferences of NPUA: Vol. 1 (2018)
H.S. SUKIASYAN, THE FEATURES OF PIECEWISE LINEAR APPROXIMATION AT NUMERICAL SOLUTION OF TW0-DIMENSIONAL BOUNDARY VALUE PROBLEMS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2024)
H.M. HAYRAPETYAN, V.G. PETROSYAN, DIRICHLET PROBLEM FOR BIHARMONIC FUNCTIONS , Proceedings of Annual Conferences of NPUA: Vol. 1 (2017)

1-10 of 156 Next

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