A spectral problem with integral conditions
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 28 (2011) no. 28, pp. 147-160 Cet article a éte moissonné depuis la source Math-Net.Ru

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K. A. Darovskaya; A. L. Skubachevsky. A spectral problem with integral conditions. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 28 (2011) no. 28, pp. 147-160. http://geodesic.mathdoc.fr/item/TSP_2011_28_28_a4/

[1] Agranovich M. S., Vishik M. I., “Ellipticheskie zadachi s parametrom i parabolicheskie zadachi obschego vida”, UMN, 19:3 (1964), 53–161 | Zbl

[2] Galakhov E. I., Skubachevskii A. L., “Ob odnoi nelokalnoi spektralnoi zadache”, Differents. uravneniya, 33:1 (1997), 25–32 | MR | Zbl

[3] Ilin V. A., “Neobkhodimye i dostatochnye usloviya bazisnosti Rissa kornevykh vektorov razryvnykh operatorov vtorogo poryadka”, Differents. uravneniya, 22:12 (1986), 2059–2071 | MR | Zbl

[4] Ilin V. A., Moiseev E. I., “Apriornaya otsenka reshenii zadachi, sopryazhennoi k nelokalnoi kraevoi zadache pervogo roda”, Differents. uravneniya, 24:5 (1988), 795–804 | MR

[5] Kato T., Teoriya vozmuscheniya lineinykh operatorov, Mir, M., 1972 | Zbl

[6] Krein. S. G., Lineinye uravneniya v banakhovom prostranstve, Nauka, M., 1971 | MR | Zbl

[7] Sentsov Yu. G., “O bazisnosti Rissa sistemy sobstvennykh i prisoedinennykh funktsii differentsialnogo operatora s integralnymi usloviyami”, Mat. zametki, 65:6, 948–952 | DOI | MR | Zbl

[8] Silchenko Yu. T., “Sobstvennye znacheniya i sobstvennye funktsii differentsialnogo operatora s nelokalnymi granichnymi usloviyami”, Differents. uravneniya, 42:6 (2006), 764–768 | MR | Zbl

[9] Skubachevskii A. L., Steblov G. M., “O spektre differentsialnogo operatora s oblastyu opredeleniya, ne plotnoi v $L_2(0,1)$”, Dokl. RAN, 321:6 (1992), 1158–1163 | MR

[10] Skubachevskii A. L., “Neklassicheskie kraevye zadachi. I”, Sovremennaya matematika. Fundamentalnye napravleniya, 26 (2007), 3–132 | MR

[11] Tamarkin Ya. D., O nekotorykh obschikh zadachakh teorii obyknovennykh lineinykh differentsialnykh uravnenii i o razlozhenii proizvolnykh funktsii v ryady, Pg., 1917

[12] Shkalikov A. A., “O bazisnosti sobstvennykh funktsii obyknovennykh differentsialnykh operatorov s integralnymi kraevymi usloviyami”, Vestn. Mosk. un-ta. Ser. 1. Matematika, mekhanika, 1982, no. 6, 12–21 | MR | Zbl

[13] Krall A. M., “The development of general differential and general boundary systems”, Rocky Mountain J. Math., 5:4 (1975), 493–542 | DOI | MR | Zbl

[14] Picone M., “I teoremi d'esistenza per gl'integrale di una equazione differenziale lineare ordinaria soddisfacenti ad una nuova classe di condizioni”, Rend. Accad. Lincei., 17 (1908), 340–347 | Zbl

[15] Picone M., “Equazione integrale traducente il piu generale problema lineare per le equation differentiali lineari ordinarie di qualsivoglia ordine”, Accad. Naz. Lincei Atti Convegni. Roma., 15:6 (1932), 942–948

[16] Sommerfeld A., “Ein Beitrag zur hydrodynamischen Erklärung der turbulenten Flussigkeitsbewegungen”, Atti IV Congr. Intern. Mat. Rome, 3 (1909), 116–124