ON THE HOMOTOPY CLASSIFICATION OF POSITIVELYHOMOGENEOUS FUNCTIONS OF THREE VARIABLES

In this paper, we study the problem of homotopy classification of the set F of positively homogeneous smooth functions in three variables whose gradients do not vanish at nonzero points.This problem is of interest in the study of periodic and bounded solutions of systems of ordinary differential equ...

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Bibliographic Details
Main Authors: E. Mukhamadiev, A. N. Naimov
Format: Article
Language:English
Published: Petrozavodsk State University 2021-05-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=9970&lang=en