Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IVM_1999_2_a2,
author = {V. V. Vlasov},
title = {On a~class of differential-difference equations of neutral type},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {20--29},
publisher = {mathdoc},
number = {2},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_1999_2_a2/}
}
V. V. Vlasov. On a~class of differential-difference equations of neutral type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (1999), pp. 20-29. http://geodesic.mathdoc.fr/item/IVM_1999_2_a2/
[1] Vlasov V. V., “Korrektnaya razreshimost odnogo klassa differentsialnykh uravnenii s otklonyayuschimsya argumentom v gilbertovom prostranstve”, Izv. vuzov. Matematika, 1996, no. 1, 22–35 | MR | Zbl
[2] Zverkin A. M., “Razlozhenie v ryad reshenii lineinykh differentsialno-raznostnykh uravnenii. Ch. I. Kvazipolinomy”, Tr. semin. po teorii differents. uravnenii s otklonyayusch. argumentom, 3, M., 1965, 3–37 | MR
[3] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965, 448 pp. | MR
[4] Bellman R., Kuk K. L., Differentsialno-raznostnye uravneniya, Mir, M., 1967, 548 pp. | MR | Zbl
[5] Henry D., “Linear autonomous neutral functional differential equations”, J. Different. Equat., 15:1 (1974), 106–128 | DOI | MR | Zbl
[6] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Mir, M., 1984, 421 pp. | MR
[7] Sedletskii A. M., “Biortogonalnye razlozheniya funktsii v ryady eksponent na intervalakh veschestvennoi osi”, UMN, 37:5 (1982), 51–95 | MR
[8] Nikolskii N. K., Lektsii ob operatore sdviga, Nauka, M., 1980, 384 pp. | MR
[9] Russel D., “On exponential bases for the Sobolev spaces over an interval”, J. Math. Anal. and Appl., 87:2 (1982), 528–550 | DOI | MR | Zbl
[10] Avdonin S. A., Ivanov S. A., Upravlyaemost sistem s raspredelennymi parametrami i semeistva eksponent, Kiev, 1989, 242 pp.
[11] Elsgolts L. E., Norkin S. B., Vvedenie v teoriyu differentsialnykh uravnenii s otklonyayuschimsya argumentom, 2-e izd., Nauka, M., 1971, 296 pp. | MR
[12] Gromova P. S., Zverkin A. M., “O trigonometricheskikh ryadakh, summoi kotorykh yavlyaetsya nepreryvnaya neogranichennaya funktsiya na veschestvennoi osi — reshenie uravneniya s otklonyayuschimsya argumentom”, Differents. uravneniya, 4:10 (1968), 1774–1784 | MR | Zbl
[13] Delfour M. C., Manitius A., “The structural operator $F$ and its role in the theory of retarded systems, Part I”, J. Math. Anal. and Appl., 73 (1980), 466–490 | DOI | MR | Zbl
[14] Delfour M. C., Manitius A., “The structural operator $F$ and its role in the theory of retarded systems, Part II”, J. Math. Anal. and Appl., 74 (1980), 359–381 | DOI | MR | Zbl
[15] Lunel S. V., “Series expansions and small solutions for Volterra equations of convolution type”, J. Different. Equat., 85:1 (1990), 17–53 | DOI | MR | Zbl
[16] Vlasov V. V., “Korrektnaya razreshimost odnogo klassa funktsionalno-differentsialnykh uravnenii v gilbertovom prostranstve”, Dokl. RAN, 345:6 (1995), 733–736 | MR | Zbl
[17] Vlasov V. V., “Nekotorye svoistva sistemy elementarnykh reshenii differentsialno-raznostnykh uravnenii”, UMN, 51:1 (1996), 143–144 | MR | Zbl
[18] Vlasov V. V., “Ob asimptoticheskom povedenii reshenii odnogo klassa funktsionalno-differentsialnykh uravnenii v gilbertovom prostranstve”, UMN, 51:5, 220–221
[19] Lunel S. V., Yakubovich D. V., “A functional model approach to linear neutral functional differential equations”, Integral Equat. and Oper. Theory, 27 (1997), 347–378 | DOI | MR | Zbl
[20] Birkgan S. E., “Eksponentsialnaya dikhotomiya i bazisnost sistem elementarnykh reshenii lineinykh avtonomnykh uravnenii neitralnogo tipa”, Sib. matem. zhurnal, 27:6 (1986), 25–27 | MR | Zbl