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.

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Published

23.03.2026

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