@article{FAA_1996_30_3_a0,
author = {A. G. Baskakov},
title = {Semigroups of {Difference} {Operators} in {Spectral} {Analysis} of {Linear} {Differential} {Operators}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--11},
year = {1996},
volume = {30},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_1996_30_3_a0/}
}
A. G. Baskakov. Semigroups of Difference Operators in Spectral Analysis of Linear Differential Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 30 (1996) no. 3, pp. 1-11. http://geodesic.mathdoc.fr/item/FAA_1996_30_3_a0/
[1] Levitan B. M., Zhikov V. V., Pochti periodicheskie funktsii i differentsialnye uravneniya, Izd-vo MGU, M., 1978 | MR | Zbl
[2] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967 | MR
[3] Khille E., Fillips R., Funktsionalnyi analiz i polugruppy, IL, M., 1962 | MR
[4] Baskakov A. G., “Investigation of spectral properties of differential operator $\mathcal{L}=-d/dt+A(t)$ by means of semigroup $\exp\mathcal{L}t$, $t\ge0$”, Intern. Conf. on Functional Equations and Application, Moscow, Russia, August 14–21, 1994, 8–9 | MR
[5] Massera Kh. L., Sheffer Kh. Kh., Lineinye differentsialnye uravneniya i funktsionalnye prostranstva, Mir, M., 1970 | MR | Zbl
[6] Khenri D., Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Mir, M., 1985 | MR
[7] Baskakov A. G., “Spektralnye kriterii pochti periodichnosti reshenii funktsionalnykh uravnenii”, Matem. zametki, 24:2 (1978), 195–206 | MR | Zbl
[8] Tyurin V. M., “Ob obratimosti lineinykh differentsialnykh operatorov v nekotorykh funktsionalnykh prostranstvakh”, Sib. matem. zh., 32:3 (1991), 160–165 | MR | Zbl
[9] Zabreiko P. P., Nguen Van Min, “Gruppa kharakteristicheskikh operatorov i ee primeneniya v teorii lineinykh obyknovennykh differentsialnykh operatorov”, Doklady RAN, 324:1 (1992), 24–28 | Zbl
[10] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR
[11] Baskakov A. G., “Abstraktnyi garmonicheskii analiz i asimptoticheskie otsenki elementov obratnykh matrits”, Matem. zametki, 52:2 (1992), 17–25 | MR
[12] Nagel R., One-parameters semigroups of positive operators, Lecture Notes in Math., 1184, Springer-Verlag, 1984 | MR
[13] Iosida K., Funktsionalnyi analiz, Mir, M., 1967 | MR
[14] Danford N., Shvarts Dzh. T., Lineinye operatory, T. 1, IL, M., 1962
[15] Antonevich A. B., Lineinye funktsionalnye uravneniya: Operatornyi podkhod, Universitetskoe, Minsk, 1988 | MR | Zbl