Literature Cited
M. G. Gasymov, "On the theory of polynomial operator pencils," Dokl. Akad. Nauk SSSR,199, No. 4, 747–750 (1971).
M. G. Gasymov, "The multiple completeness of a part of the eigen- and associated vectors of polynomial operator pencils," Izv. Akad. Nauk Arm. SSR, Mat.,6, Nos. 2–3, 131–147 (1971).
M. G. Krein and G. K. Langer, "Certain mathematical principles of the linear theory of damped vibrations of continua," in: Proceedings of the International Symposium on Applications of the Theory of Functions of a Complex Variable in Continuum Mechanics [in Russian], N. I. Mushelishvili, L. I. Sedov, and G. K. Mikhailov (eds.), (Proc. Int. Sympos., Tbilisi, 1963), Vol. II, Fluid and Gas Mechanics, Math. Methods, Nauka, Moscow (1965), pp. 283–322.
G. V. Radzievskii, "Completeness of derived chains corresponding to boundary-value problems on the semiaxis," Ukr. Mat. Zh.,31, No. 4, 407–416 (1979).
S. S. Mirzoev, "The double completeness of a part of the eigen- and associated vectors of polynomial operator pencils of fourth order," Izv. Akad. Nauk Azb. SSR, Ser. Fiz.-Tekh. Mat. Nauk, No. 6, 37–43 (1974).
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Azerbaijan State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 17, No. 2, pp. 84–85, April–June, 1983.
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Mirzoev, S.S. Multiple completeness of root vectors of polynomial operator pencils corresponding to boundary-value problems on the semiaxis. Funct Anal Its Appl 17, 151–153 (1983). https://doi.org/10.1007/BF01083147
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DOI: https://doi.org/10.1007/BF01083147