Geodesic
On Hopf's theorems for relative rotation
Trudy Instituta matematiki, Tome 15 (2007) no. 1, pp. 33-46.

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

The generalizations of Hopf's theorem on homotopic classification and Hopf's theorem on the continuation without zeros for the relative rotation of finite-dimensional and completely continuous vector fields are proved. The notion of the relative rotation of vector fields with compactly restricted operators is introduced. Hopf's classification theorem for such vector fields is also proved. 
@article{TIMB_2007_15_1_a4,
     author = {A. V. Guminskaya and P. P. Zabreiko},
     title = {On {Hopf's} theorems for relative rotation},
     journal = {Trudy Instituta matematiki},
     pages = {33--46},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a4/}
}
TY  - JOUR
AU  - A. V. Guminskaya
AU  - P. P. Zabreiko
TI  - On Hopf's theorems for relative rotation
JO  - Trudy Instituta matematiki
PY  - 2007
SP  - 33
EP  - 46
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a4/
LA  - ru
ID  - TIMB_2007_15_1_a4
ER  - 
%0 Journal Article
%A A. V. Guminskaya
%A P. P. Zabreiko
%T On Hopf's theorems for relative rotation
%J Trudy Instituta matematiki
%D 2007
%P 33-46
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a4/
%G ru
%F TIMB_2007_15_1_a4
A. V. Guminskaya; P. P. Zabreiko. On Hopf's theorems for relative rotation. Trudy Instituta matematiki, Tome 15 (2007) no. 1, pp. 33-46. http://geodesic.mathdoc.fr/item/TIMB_2007_15_1_a4/

[1] Krasnoselskii M.A., Topologicheskie metody v teorii nelineinykh integralnykh uravnenii, Gostekhizdat, M., 1956 | MR

[2] Krasnoselskii M.A., Zabreiko P.P., Geometricheskie metody nelineinogo analiza, Nauka, M., 1975 | MR

[3] Akhmerov R.R., Kamenskii M.I., Potapov A.S., Rodkina A.E., Sadovskii B.N., Mery nekompaktnosti i uplotnyayuschie operatory, Nauka, Novosibirsk, 1986 | MR | Zbl

[4] Sapronov Yu.I., “K gomotopicheskoi klassifikatsii uplotnyayuschikh otobrazhenii”, Tr. matematicheskogo fakulteta Voronezhskogo gos. un-ta, 1972, no. 6, 78–80 | MR

[5] Borisovich Yu.G., “Ob otnositelnom vraschenii kompaktnykh vektornykh polei v lineinykh prostranstvakh”, Tr. seminara po funktsionalnomu analizu, 12, Voronezh, 1969, 3–27 | MR | Zbl

[6] Potapov A.S., O nekotorykh klassakh nelineinykh operatorov, Dis. kand. fiz.-mat. nauk, Voronezh, 1975