@article{VKAM_2021_37_4_a3,
author = {M. G. Mazhgikhova},
title = {Steklov problem of the first class for a fractional order delay differential equation},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {30--37},
year = {2021},
volume = {37},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a3/}
}
TY - JOUR AU - M. G. Mazhgikhova TI - Steklov problem of the first class for a fractional order delay differential equation JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2021 SP - 30 EP - 37 VL - 37 IS - 4 UR - http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a3/ LA - ru ID - VKAM_2021_37_4_a3 ER -
M. G. Mazhgikhova. Steklov problem of the first class for a fractional order delay differential equation. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 30-37. http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a3/
[1] Nakhushev A. M., Drobnoye ischisleniye i yego primeneniye, Fizmatlit, Moskva, 2003, 272 pp. (in Russian)
[2] Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and Applications of Factional Differential Equations, Elsevier, Amsterdam, 2006, 523 pp.
[3] Pskhu A. V., Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, Moskva, 2005, 199 pp. (in Russian)
[4] Oldham K. B., Spanier J., The fractional calculus, Acad. press., N.-Y. L., 1974, 234 pp. | Zbl
[5] Barrett J. H., “Differential equation of non-integer order”, Canad. J. Math., 6:4 (1954), 529–541 | DOI | Zbl
[6] Bellman R. E., Cooke K. L., Differential-Difference Equations, Acad. Press., New York. London., 1963, 462 pp. | Zbl
[7] Hale J. K, Lunel S. M. V., Introduction to Functional Differential Equations, Springer, New York. London., 1993, 449 pp. | Zbl
[8] El'sgol'ts L. E., Norkin S. B., Vvedeniye v teoriyu differentsial'nykh uravneniy s otklonyayushchimsya argumentom, Nauka, Moskva, 1971, 296 pp. (in Russian)
[9] Myshkis A. D., Lineynyye differentsial'nyye uravneniya s zapazdyvayushchim argumentom, Nauka, Moskva, 1972, 351 pp. (in Russian)
[10] Mazhgikhova M. G., “Nachal'naya i krayevaya zadachi dlya obyknovennogo differentsial'nogo uravneniya drobnogo poryadka s zapazdyvayushchim argumentom”, Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 3:1 (1968), 27–37 (in Russian)
[11] Mazhgikhova M. G., “Dirichlet problem for a fractional-order ordinary differential equation with retarded argument”, Differential equations, 54:2 (2018), 187–194 | DOI | Zbl
[12] Mazhgikhova M. G., “Zadacha Neymana dlya obyknovennogo differentsial'nogo uravneniya drobnogo poryadka s zapazdyvayushchim argumentom”, Izvestiya KBNTS RAN, 70:2 (2018), 15–20 (in Russian)
[13] Mazhgikhova M. G., “Krayevaya zadacha so smeshcheniyem dlya differentsial'nogo uravneniya drobnogo poryadka s zapazdyvayushchim argumentom”, Vestnik KRAUNTS. Fiziko-matematicheskiye nauki, 28:3 (2018), 16–25 (in Russian)
[14] Nakhushev A. M., Zadachi so smeshcheniyem dlya uravneniy v chastnykh proizvodnykh, Nauka, Moskva, 2006, 287 pp. (in Russian)
[15] Prabhakar T. R., “A singular integral equation with a generalized Mittag-Leffler function in the kernel”, Yokohama Math. J., 19 (1971), 7–15 | Zbl