CORRELATION BETWEEN DEGREE OF A MAP AND ROTATION OF VECTOR FIELDS
Authors:
Type:
Article
Pages:
from 455
to 455
Status:
Published
Received:
29.08.2014
Accepted:
07.10.2014
Published:
07.10.2014
Language:
Russian
Keywords:
vector field, degree of a map, rotation of vector fields
Abstract (English):
In this text we consider the theorem, which was staged in [1, M.A. Krasnoselsky] as a task for the reader.
In this text we consider the theorem, which was staged in [1, M.A. Krasnoselsky] as a task for the reader.
Keywords:
vector field, degree of a map, rotation of vector fields
vector field, degree of a map, rotation of vector fields
Доклад посвящен доказательству теоремы о равенстве степени отображения и вращения векторного поля, которая была приведена в работе М.А. Красносельского, А.И. Перова и других авторов «Векторные поля на плоскости», как задача для читателей.
1. M. A. Krasnosel´skiy, A. I. Perov, A. I. Povolotskiy, P.P. Zabreyko, Vektornye polya na ploskosti. - M.: Gosudarstvennoe izdatel´stvo fiziko-matematicheskogo fakul´teta,1963.
2. M.A. Krasnosel´skiy, P.P.Zabreyko, Geometricheskie metody nelineynogo analiza. - M.: Nauka, 1975
