On approximate properties of solutions of a~nonlinear mixed-type equation
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 95-107.

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

In the paper, we obtain sufficient solvability conditions of a certain boundary-value problem for a nonlinear mixed-type equation and finds upper and lower estimates for Kolmogorov widths of the solution set.
@article{FPM_2006_12_5_a8,
     author = {M. B. Muratbekov and M. M. Muratbekov and K. N. Ospanov},
     title = {On approximate properties of solutions of a~nonlinear mixed-type equation},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {95--107},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a8/}
}
TY  - JOUR
AU  - M. B. Muratbekov
AU  - M. M. Muratbekov
AU  - K. N. Ospanov
TI  - On approximate properties of solutions of a~nonlinear mixed-type equation
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2006
SP  - 95
EP  - 107
VL  - 12
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a8/
LA  - ru
ID  - FPM_2006_12_5_a8
ER  - 
%0 Journal Article
%A M. B. Muratbekov
%A M. M. Muratbekov
%A K. N. Ospanov
%T On approximate properties of solutions of a~nonlinear mixed-type equation
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2006
%P 95-107
%V 12
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a8/
%G ru
%F FPM_2006_12_5_a8
M. B. Muratbekov; M. M. Muratbekov; K. N. Ospanov. On approximate properties of solutions of a~nonlinear mixed-type equation. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 5, pp. 95-107. http://geodesic.mathdoc.fr/item/FPM_2006_12_5_a8/

[1] Imanbaeva A. B., Muratbekov M. B., Ospanov K. N., “O suschestvovanii periodicheskogo resheniya odnogo nelineinogo uravneniya smeshannogo tipa v pryamougolnike”, Tr. Mezhd. nauch. konf. “Sovr. probl. mat. fiz. i inf. tekhn”, 2, Tashkent, 2003, 263–264

[2] Kalmenov S. Sh., “O spektre zadachi Trikomi dlya uravneniya Lavrenteva–Bitsadze”, Differents. uravn., 13:8 (1977), 1418–1425 | MR

[3] Kalmenov S. Sh., “O poluperiodicheskoi probleme Dirikhle dlya klassa uravnenii smeshannogo tipa”, Differents. uravn., 14:3 (1978), 546–547 | MR

[4] Kalmenov S. Sh., Muratbekov M. B., Spektralnye svoistva operatora smeshannogo tipa, Shymkent, 1997

[5] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1976 | MR | Zbl

[6] Moiseev E. I., “O teoremakh edinstvennosti dlya uravneniya smeshannogo tipa”, DAN SSSR, 242 (1978), 48–51 | MR | Zbl

[7] Moiseev E. I., Uravneniya smeshannogo tipa so spektralnym parametrom, Izd-vo Mosk. un-ta, M., 1988 | MR | Zbl

[8] Muratbekov M. M., Izvestiya NAN RK. Seriya fiz.-mat., 2000, no. 5, 24–28 | MR

[9] Mynbaev K. T., Otelbaev M., Vesovye funktsionalnye prostranstva i spektr differentsialnykh operatorov, Nauka, M., 1988 | MR | Zbl

[10] Otelbaev M., “Teoremy vlozheniya prostranstv s vesom i ikh primeneniya k izucheniyu spektra operatora Shredingera”, Tr. MIAN SSSR, 150, 1979, 265–305 | MR | Zbl

[11] Ponomarev, “O probleme sobstvennykh znachenii dlya uravneniya smeshannogo tipa”, DAN SSSR, 251:5 (1980), M. | MR | Zbl

[12] Tikhomirov V. M., Nekotorye voprosy teorii priblizheniya, Izd-vo Mosk. un-ta, M., 1976 | MR