Geodesic
Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient
Funkcionalʹnyj analiz i ego priloženiâ, Tome 5 (1971) no. 1, pp. 10-21 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{FAA_1971_5_1_a1,
     author = {M. L. Gorbachuk},
     title = {Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {10--21},
     year = {1971},
     volume = {5},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a1/}
}
TY  - JOUR
AU  - M. L. Gorbachuk
TI  - Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1971
SP  - 10
EP  - 21
VL  - 5
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a1/
LA  - ru
ID  - FAA_1971_5_1_a1
ER  - 
%0 Journal Article
%A M. L. Gorbachuk
%T Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1971
%P 10-21
%V 5
%N 1
%U http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a1/
%G ru
%F FAA_1971_5_1_a1
M. L. Gorbachuk. Self-adjoint boundary problems for a second-order differential equation with unbounded operator coefficient. Funkcionalʹnyj analiz i ego priloženiâ, Tome 5 (1971) no. 1, pp. 10-21. http://geodesic.mathdoc.fr/item/FAA_1971_5_1_a1/

[1] Rofe-Beketov F.S, “Razlozhenie po sobstvennym funktsiyam beskonechnykh sistem differentsialnykh uravnenii v nesamosopryazhennom i samosopryazhennom sluchayakh”, Matem. sb., 51 (1960), 293–342 | MR | Zbl

[2] Gorbachuk M.L., “O spektralnykh funktsiyakh differentsialnogo uravneniya vtorogo poryadka s operatornymi koeffitsientami”, Ukr. matem. zh., 18:2 (1966), 3–21 | MR | Zbl

[3] Rofe-Beketov F.S., “Samosopryazhennye rasshireniya differentsialnykh operatorov v prostranstve vektor-funktsii”, DAN SSSR, 184:5 (1969), 1034–1037 | MR | Zbl

[4] Krein M.G., “Teoriya samosopryazhennykh rasshirenii poluogranichennykh ermitovykh operatorov i ee prilozheniya. I, II”, Matem. sb., 20 (1947), 431–495 | MR | Zbl

[5] Vishik M.I., “Ob obschikh kraevykh zadachakh dlya ellipticheskikh differentsialnykh uravnenii”, Trudy Mosk. matem ob-va, 1, 1952, 187–246

[6] Berezanskii Yu.M., Razlozhenie ,po sobstvennym funktsiyam samosopryazhennykh operatorov, Naukova dumka, Kiev, 1965 | MR

[7] Gorbachuk V.I., Gorbachuk M.L., “Nekotorye voprosy spektralnoi teorii lineinogo differentsialnogo uravneniya vtorogo poryadka s neogranichennymi operatornymi koeffitsientami”, Ukr. matem. zh., 23:1 (1971), 3–15 | MR

[8] Shilov G.E., Matematicheskii analiz, Fizmatizdat, M., 1960 | MR | Zbl

[9] Ilin V.A., Filippov A.F., “O kharaktere spektra samosopryazhennogo rasshireniya operatora Laplasa v ogranichennoi oblasti”, DAN SSSR, 191:2 (1970), 267–269 | MR