@article{ZVMMF_2014_54_3_a15,
author = {M. G. Muradyan},
title = {Determination of radiation reflection and transmission operators in a slab},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {529--535},
year = {2014},
volume = {54},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a15/}
}
TY - JOUR AU - M. G. Muradyan TI - Determination of radiation reflection and transmission operators in a slab JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2014 SP - 529 EP - 535 VL - 54 IS - 3 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a15/ LA - ru ID - ZVMMF_2014_54_3_a15 ER -
M. G. Muradyan. Determination of radiation reflection and transmission operators in a slab. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 529-535. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_3_a15/
[1] Bellman R., Wing G., An introduction to invariant imbedding, Willy and Sons, N.Y., 1975 | MR | Zbl
[2] Wang A. P. I., “Descrete radiative transfer in slabs”, J. Math. Analys and Appl., 24 (1968), 530–544 | DOI | MR
[3] Muradyan M. G., “O reshenii odnoi zadachi teorii perenosa”, Zh. vychisl. matem. i matem. fiz., 33:2 (1993), 271–282 | MR | Zbl
[4] Muradyan M. G., “Analiticheskoe reshenie zadachi perenosa izlucheniya v periodicheskoi srede”, Zh. vychisl. matem. i matem. fiz., 37:7 (1997), 794–798 | MR | Zbl
[5] Muradyan M. G., “Nelineinye uravneniya i kraevye zadachi dlya lineinykh obyknovennykh differentsialnykh uravnenii”, Differents. i integr. ur-niya, Sb. nauchnykh trudov, Erevan, 1979, 49–66
[6] Bellman R., Cooke K. L., Kolaba R., Wing G. M., “Existence and uniqueness theorems in invariant imbedding, I”; “Conservation Principles, II”, J. Math. Anal. and Appl., 10 (1965), 234–244 | DOI | MR | Zbl
[7] Ambartsumyan V. A., Nauchnye trudy, v. 1, Izd-vo AN Arm SSR, Erevan, 1960
[8] Engibaryan N. B., Melkonyan E. A., “Perenos izlucheniya v ploskom sloe i uravnenie Ambartsumyana”, Printsip invariantnosti i ego prilozh., Izd-vo AN Arm SSR, Erevan, 1989, 326–333
[9] Mouradian M. G., “Analytical solution of the linear problem of radiation transfer in a plane Homogeneous Layer”, J. Quant. Spectrosc. Radiat. Transfer, 46:5 (1991), 477–481 | DOI
[10] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR | Zbl
[11] Simizu A., Aoki K., Application of invariant imbedding to reactor physics, New York–London, 1972
[12] Engibaryan N. B., Mnatsakanyan M. A., “O lineinykh zadachakh perenosa”, Dokl. AN SSSR, 217:3 (1974), 533–535
[13] Muradyan M. G., Pryamye i obratnye zadachi dlya lineinykh differentsialnykh uravnenii perenosa izlucheniya, Diss. ... dok. fiz.-matem. nauk, Belgosuniversitet, Minsk, 1998
[14] Muradyan M. G., “Problema Milna dlya periodicheskoi sredy”, Differents. ur-niya, 40:8 (2004), 1050–1058 | MR | Zbl