Linear Relations, Differential Inclusions, and Degenerate Semigroups
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 65-70.

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

A generalized linear differential equation in a Banach space is studied. The construction of a phase space and solutions with the help of the spectral theory of linear operators, ergodic theorems, and degenerate semigroups of linear operators is carried out.
Keywords: linear relation, differential inclusion, degenerate semigroup, extended spectrum, ergodic subspace.
@article{FAA_2002_36_4_a5,
     author = {A. G. Baskakov and K. I. Chernyshov},
     title = {Linear {Relations,} {Differential} {Inclusions,} and {Degenerate} {Semigroups}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {65--70},
     publisher = {mathdoc},
     volume = {36},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a5/}
}
TY  - JOUR
AU  - A. G. Baskakov
AU  - K. I. Chernyshov
TI  - Linear Relations, Differential Inclusions, and Degenerate Semigroups
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2002
SP  - 65
EP  - 70
VL  - 36
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a5/
LA  - ru
ID  - FAA_2002_36_4_a5
ER  - 
%0 Journal Article
%A A. G. Baskakov
%A K. I. Chernyshov
%T Linear Relations, Differential Inclusions, and Degenerate Semigroups
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2002
%P 65-70
%V 36
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a5/
%G ru
%F FAA_2002_36_4_a5
A. G. Baskakov; K. I. Chernyshov. Linear Relations, Differential Inclusions, and Degenerate Semigroups. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 65-70. http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a5/

[1] Cross R., Multivalued linear operators, M. Dekker, New York, 1998 | MR | Zbl

[2] Favini A., Yagi A., Degenerate differential equations in Banach spaces, Pure and Applied Mathematics: A Series of Monographs and Textbooks, 215, M. Dekker, New York, 1998 | MR

[3] Arens R., “Operational calculus of linear relations”, Pacific J. Math., 11 (1961), 9–23 | DOI | MR | Zbl

[4] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, T. 2, Izd-vo Khark. gos. un-ta, Kharkov, 1978 | MR

[5] Arendt W., Tübinger Berichte fur Funktionalanalysis, 9 (1999/2000), 33–46

[6] Khenri D., Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Mir, M., 1985 | MR

[7] Rofe-Beketov F. S., DAN SSSR, 255:5 (1980), 1054–1058 | MR | Zbl

[8] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[9] Melnikova I. V., Gladchenko A. V., Dokl. RAN, 361:6 (1998), 736–739 | MR

[10] Baskakov A. G., Izv. vuzov, ser. matem., 1988, no. 11(318), 3–11 | MR | Zbl

[11] Baskakov A. G., Chernyshov K. I., Izv. RAEN. MMMIU, 2:3 (1998), 39–69

[12] Baskakov A. G., Chernyshov K. I., Izv. RAEN. MMMIU, 3:3 (1999), 5–24 | MR | Zbl

[13] Baskakov A. G., Chernyshov K. I., Dokl. RAN, 371:3 (2000), 295–298 | MR | Zbl

[14] Baskakov A. G., Chernyshov K. I., Spectral and Evolution Problems, Vol. 11, Proc. of the Eleventh Crimean Autumn Math. School, Natl. Taurida Univ. “V. Vernadsky”, Simferopol, 2001, 136–143 | MR