DARBOUX INTEGRABILITY OF PLANAR POLYNOMIAL SYSTEMS

被引：2
|
作者：
Volokitin, E. P. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Math, Siberian Branch, Akad Koptyuga Ave 4, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2013年 / 10卷
关键词：
Darboux integrability; the first integrals; the rational first integrals;
D O I：
10.17377/semi.2013.10.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a polynomial system with Cauchy-Riemann conditions has Darboux integral which may be derived without quadratures. We give classes of such systems which have the rational first integral.
引用
收藏
页码：271 / 284
页数：14
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