On Riesz basises of the eigen and associated functions of the functional-differential operator with a~variable structure
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 2, pp. 20-25.

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For a functional-differential operator of a variable structure with integral boundary conditions the Riesz basisness of its eigen and associated functions in the space $L^3_2[0,1]$ is proved.
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V. P. Kurdyumov; A. P. Khromov. On Riesz basises of the eigen and associated functions of the functional-differential operator with a~variable structure. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 2, pp. 20-25. http://geodesic.mathdoc.fr/item/ISU_2007_7_2_a4/

[1] Khromov A. P., “Ob analoge teoremy Zhordana–Dirikhle dlya razlozhenii po sobstvennym funktsiyam differentsialno-raznostnogo operatora s integralnym granichnym usloviem”, Doklady RAEN, 2004, no. 4, 80–87

[2] Kurdyumov V. P., Khromov A. P., “O bazisakh Rissa iz sobstvennykh funktsii integralnogo operatora s peremennym predelom integrirovaniya”, Mat. zametki, 76:1 (2004), 97–110 | DOI | MR

[3] Shkalikov A. A., “O bazisnosti sobstvennykh funktsii obyknovennykh differentsialnykh operatorov s integralnymi kraevymi usloviyami”, Vestn. MGU. Ser. mat., mekh., 1982, no. 6, 12–21 | MR | Zbl

[4] Shkalikov A. A., “Kraevye zadachi dlya obyknovennykh differentsialnykh uravnenii s parametrom v granichnykh usloviyakh”, Tr. seminara im. I. G. Petrovskogo, 9, 1983, 190–229 | MR | Zbl

[5] Rapopport I. M., O nekotorykh asimtoticheskikh metodakh v teorii differentsialnykh uravnenii, Izd-vo AN USSR, Kiev, 1954

[6] Kurdyumov V. P., Khromov A. P., “O bazisakh Rissa iz sobstvennykh i prisoedinennykh funktsii differentsialno-raznostnogo operatora s mnogotochechnym kraevym usloviem”, Matematika. Mekhanika: Sb. nauch. tr., 6, Izd-vo Sarat. un-ta, Saratov, 2004, 80–82

[7] Kurdyumov V. P., Khromov A. P., “O bazisakh Rissa iz sobstvennykh i prisoedinennykh funktsii differentsialno-raznostnogo operatora s integralnym kraevym usloviem”, Matematika. Mekhanika: Sb. nauch. tr., 7, Izd-vo Sarat. un-ta, Saratov, 2005, 61–63