Abstract
Under investigation is the equivalence of derived chains constructed from root vectors of polynomial pencils of operators acting in a Hilbert space. These derived chains correspond to various boundary—value problems on a finite interval for an operator—differential equation.
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G. V. Radzievskii, “The problem of the completeness of root vectors in the spectral theory of operator-functions,” Usp. Mat. Nauk,37, No. 2, 81–145 (1982).
M. V. Keldysh, “On the completeness of the eigenfunctions of certain classes of nonself-adjoint linear operators,” Usp. Mat. Nauk,26, No. 4, 15–41 (1971).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 1, pp. 83–95, January, 1990.
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Radzievskii, G.V. Equivalence of the derived chains corresponding to a boundary-value problem on a finite interval, for polynomial operator pencils. Ukr Math J 42, 75–84 (1990). https://doi.org/10.1007/BF01066367
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DOI: https://doi.org/10.1007/BF01066367