Palavras-chave
holomorphic function
one-connected region
piecewise smooth curve
singular point index
zero isoclines
Como Citar
Resumo
This article studies the joint existence of singular points of a system of the form where and and are homogeneous polynomials of degree n with constant coefficients . For this purpose the index theory is applied and the characteristics of a singular point are calculated.
Referências
Khusanov B., Sharipov S.R., Mamashev S.Kh. On some questions of the trajectory of an n-dimensional generalized homogeneous differential system. -Izv. of the Academy of Sciences of the Kazakh SSR. Series of physical and mathematical sciences, 1981, №3, pp.38-43.
Khusanov B. On the distribution of singular points of one system in n-dimensional space. -Dokl. of the Academy of Sciences of the Uzbek SSR, 1982, No.2, pp.4-6
Nemytsky V.V., Stepanov V.V. Qualitative theory of differential equations. GITTL, M.-L., 1949.