N. B. Kerimov, V. S. Mirzoev, “On the basis properties of one spectral problem with a spectral parameter in a boundary condition”, Sibirsk. Mat. Zh., 2003, Volume 44, Number 5,Pages <nobr>1041

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On the basis properties of one spectral problem with a spectral parameter in a boundary condition

N. B. Kerimov^a, V. S. Mirzoev^b

^a Baku State University
^b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Abstract: We consider a second-order ordinary differential operator with the same spectral parameter in the equation and in one of the boundary conditions. We study the basis property of the system of eigenfunctions of this operator in the space of square summable functions.

Keywords: ordinary differential operator, oscillation, eigenfunction, biorthogonal system, basis.

UDC: 517.927.25

Received: 01.10.2001