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math.AP2024
On differential operators and linear differential equations on torus
V. P. Burskii
In this paper, we consider periodic boundary value problems for differential equations whose coefficients are trigonometric polynomials. We construct the spaces of generalized func…
math.AP2006★ 6 cited
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation
Vladimir P. Burskii, Alexei S. Zhedanov
We consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve. We show that t…