PARTICULAR INTEGRALS OF SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS

被引：0

作者：

GORBUZOV, VN

TYSHCHENKO, VY

机构：

来源：

RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1993年 / 75卷 / 02期

关键词：

D O I：

10.1070/SM1993v075n02ABEH003389

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For systems of ordinary differential equations, the concept of particular integral is extended, enabling one to find several approaches to constructing the first integral and the last Jacobi multiplier. Methods are developed for distinguishing a center and focus, and for finding limit cycles of systems having particular algebraic integrals, taking their weight into account, and of systems having conditional particular integrals.

引用

页码：353 / 369

页数：17

共 22 条

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[14] KHUDAIVERENOV MG, 1987, IZV AKAD NAUK FTKGN, P3
[15] LUNKEVICH VA, 1982, DIFF EQUAT, V18, P786
[16] Nemytskii V. V., 1949, QUALITATIVE THEORY D
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[19] SIBIRSKII KS, 1976, ALGEBRAIC INVARIANTS
[20] van der Waerden B.L., 1967, ALGEBRA, VII

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