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On the basis property of root elements of ordinary differential operators in the space L 2,n (a, b)

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Abstract

We study a spectral problem for a system of linear ordinary differential operators in the vector function space L 2,n (a, b) with parameter-dependent boundary conditions. We prove a theorem stating that the system of root functions of the problem is a basis with parentheses in L 2,n (a, b). Corollaries of the theorem are considered.

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Authors and Affiliations

  1. Dagestan State University, Makhachkala, Russia

    A. I. Vagabov

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  1. A. I. Vagabov
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Original Russian Text © A.I. Vagabov, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 12, pp. 1587–1594.

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Vagabov, A.I. On the basis property of root elements of ordinary differential operators in the space L 2,n (a, b). Diff Equat 44, 1651–1658 (2008). https://doi.org/10.1134/S001226610812001X

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  • DOI: https://doi.org/10.1134/S001226610812001X

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