Maqola

On the solvability of a Dirichlet‐type problem for one equation with variable coefficients

B. Yu. IrgashevNamangan Engineering Construction Institute, Uzbekistan, Institute of Mathematics of the Republic of Uzbekistan Uzbekistan

Mathematical Methods in the Applied Sciencesjournal2021en

ABI

Annotatsiya

The paper investigates a boundary value problem in a rectangular domain for a high even order equation with discontinuous coefficients. A criterion for the uniqueness of a solution is obtained using the spectral method. The solution is built in the form of a Fourier series. When justifying the convergence of the series, the problem of small denominators arises. We obtain sufficient conditions for the convergence of the series.

Mavzular

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Heat Transfer and Mathematical Modeling

Identifikatorlar

DOI: 10.1002/mma.7947

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