Literature cited
G. V. Radzievskii, “On completeness of derived chains corresponding to boundary problems on a finite interval,” Ukr. Mat. Zh.,31, No. 3, 279–288 (1979).
G. V. Radzievskii, “On completeness of derived chains,” Mat. Sb.,100, No. 1, 37–58 (1976).
G. V. Radzievskii, “On some criteria for multiple completeness of root vectors of operator functions analytic in a sector,” Ukr. Mat. Zh.,28, No. 2, 203–212 (1976).
G. V. Radzievskii, “On the problem of completeness of root vectors corresponding to the two spectral series of M. V. Keldysh's bundle,” Ukr. Mat. Zh.,28, No. 3, 413–418 (1976).
G. V. Radzievskii, “Completeness theorems for some of the root vectors of M. V. Keldysh's bundle,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 597–600 (1976).
G. V. Radzievskii, “Multiple completeness of root vectors of M. V. Keldysh's bundle perturbed by an operator function analytic in the disk,” Mat. Sb.,91, No. 3, 310–335 (1973).
V. I. Matsaev and E. Z. Mogul'skii, “Some criteria for multiple completeness of the system of eigen- and associated vectors of polynomial operator bundles,” in: Theory of Functions, Functional Analysis, and Their Applications [in Russian], No. 13, Kharkov (1971), pp. 3–45.
M. A. Evgrafov, Analytic Functions, Saunders (1966).
P. Halmos, A Hilbert Space Problem Book, Van Nostrand, New York.
M. G. Gasymov, “Multiple completeness of some of the eigen- and associated vectors of polynomial operator bundles,” Izv. Akad. Nauk Arm. SSR, Ser. Mat.,6, Nos. 2–3, 131–147 (1971).
M. G. Gasymov, “On solvability of boundary problems for a class of operator-differential equations,” Dokl. Akad. Nauk SSSR,235, No. 3, 505–508 (1977).
S. S. Mirzoev, “Twofold completeness of some of the eigen- and associated values vectors of polynomial operator bundles of the fourth order,” Izv. Akad. Nauk AzSSR, Ser. Fiz.-Tekhn. Mat. Nauk, No. 6, 37–42 (1974).
A. I. Virozub, “On energy completeness of a system of elementary solutions of a differential equation in Hilbert space,” Funkts. Anal. Prilozhen.,9, No. 1, 52–53 (1975).
I. V. Goryuk, “On completeness of the system of eigen- and associated vectors of a quadratic self-adjoint bundle,” Mat. Issled.,7, No. 1, 193–197 (1972).
G. V. Radzievskii, “A quadratic bundle of operators,” IM-76-24 Preprint, Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1976).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 4, pp. 407–416, July–August, 1979.
Rights and permissions
About this article
Cite this article
Radzievskii, G.V. Completeness of derived chains corresponding to boundary problems on a semiaxis. Ukr Math J 31, 319–327 (1979). https://doi.org/10.1007/BF01085672
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085672