Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2005), pp. 49-55.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2005_4_a6,
     author = {V. N. Pavlenko and D. K. Potapov},
     title = {Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {49--55},
     publisher = {mathdoc},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2005_4_a6/}
}
TY  - JOUR
AU  - V. N. Pavlenko
AU  - D. K. Potapov
TI  - Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2005
SP  - 49
EP  - 55
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2005_4_a6/
LA  - ru
ID  - IVM_2005_4_a6
ER  - 
%0 Journal Article
%A V. N. Pavlenko
%A D. K. Potapov
%T Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2005
%P 49-55
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2005_4_a6/
%G ru
%F IVM_2005_4_a6
V. N. Pavlenko; D. K. Potapov. Approximation of boundary value problems of elliptic type with a spectral parameter and a discontinuous nonlinearity. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2005), pp. 49-55. http://geodesic.mathdoc.fr/item/IVM_2005_4_a6/

[1] Krasnoselskii M.A., Pokrovskii A.V., “Uravneniya s razryvnymi nelineinostyam”, DAN SSSR, 248:5 (1979), 1056–1059 | MR

[2] Pavlenko V.N., Iskakov R.S., “Nepreryvnye approksimatsii razryvnykh nelineinostei polulineinykh uravnenii ellipticheskogo tipa”, Ukr. matem. zhurn., 51:2 (1999), 224–233 | MR | Zbl

[3] Pavlenko V.N., Potapov D.K., “O suschestvovanii lucha sobstvennykh znachenii dlya uravnenii s razryvnymi operatorami”, Sib. matem. zhurn., 42:4 (2001), 911–919 | MR | Zbl

[4] Ladyzhenskaya O.A., Uraltseva N.N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964, 538 pp. | MR

[5] Sobolev S.L., Nekotorye primeneniya funktsionalnogo analiza v matematicheskoi fizike, Nauka, M., 1982, 336 pp. | MR

[6] Krasnoselskii M.A., Pokrovskii A.V., Sistemy s gisterezisom, Nauka, M., 1983, 272 pp. | MR

[7] Krasnoselskii M.A., Pokrovskii A.V., “Pravilnye resheniya uravnenii s razryvnymi nelineinostyami”, DAN SSSR, 226:3 (1976), 506–509 | MR

[8] Pavlenko V.N., Vinokur V.V., “Rezonansnye kraevye zadachi dlya uravnenii ellipticheskogo tipa s razryvnymi nelineinostyami”, Izv. vuzov. Matematika, 2001, no. 5, 43–58 | MR | Zbl

[9] Agmon S., Duglis A., Nirenberg L., Otsenki reshenii ellipticheskikh uravnenii vblizi granitsy, In. lit., M., 1962, 208 pp. | Zbl