AN INHOMOGENEOUS DIRICHLET PROBLEM FOR THE HYPERBOLIC EQUATION IN THE UNIT DISC

Authors

A.H. BABAYAN National Polytechnic University of Armenia Author

Keywords:

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

Abstract

The Dirichlet problem in a unit disc for a second order hyperbolic equation is considered. The conditions of the unique solvability of the problem are found and, in this case, the solution is determined explicitly in the form of series by Chebyshev polynomials.

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Published

03.04.2026

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