ON THE EXISTENCE OF GLOBAL 1ST INTEGRALS IN THE PLANE

被引：1
|
作者：
MAZZI, L
SABATINI, M
机构：
[1] POLITECN TORINO, DIPARTIMENTO MATEMAT, I-10129 TURIN, ITALY
[2] UNIV TRENT, DIPARTIMENTO MATEMAT, I-38050 TRENT, ITALY
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1993年 / 163卷
关键词：
D O I：
10.1007/BF01759019
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A plane, autonomous, noncritical differential system x' = f(x) of class C(k) is given. Under a suitable <<discreteness>> hypothesis on the behaviour of orbits, the existence of a global first integral as regular as the field (provided k not-equal omega) is proved.
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页码：143 / 160
页数：18
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