On a non-classical boundary value problem for the Helmholtz equation

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A boundary value problem for the Helmholtz equation in the unit ball, having high-order normal derivatives in the boundary conditions is considered. The theorem of necessary and sufficient solvability conditions of this problem is proved.

helmholtz equation \ generalized neumann problem \ eigenvalues \ normal derivatives

Short address: https://sciup.org/147158820

IDS: 147158820   |   UDC: 517.956.223