6 citations · 8 across the 5 of their papers we have counts for
5 papers
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…
The organization of a three-manual keyboard for 53-tone tempered and other tempered systems
Vladimir P. Burskii
The aim is to explore new opportunities of the pitch organization of the musical scale. Specifically, a numerical comparison of the different musical temperaments among themselves…
On the spectrum and eigenfunctions of the equivariant general boundary value problem outside the ball for the Schrödinger operator with Coulomb potential
V. P. Burskii, A. A. Zaretskaya
We consider the Schrödinger equation for hydrogen-like atom with Coulomb potential and non-point ball nucleus. The eigenvalues and eigenfunctions of the operator given by an arbitr…
On Dirichlet, Poncelet and Abel problems
V. P. Burskii, A. S. Zhedanov
We propose interconnections between some problems of PDE, geometry, algebra, calculus and physics. Uniqueness of a solution of the Dirichlet problem and of some other boundary valu…
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…