On the number of linear particular integrals of algebraic differential equations

被引：0

作者：

Dolov, M. V. ^{[1
]}

Kruglov, E. V. ^{[1
]}

机构：

[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod, Russia

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 04期

关键词：

Differential Equation; Vector Field; Functional Equation; Short Communication; Global Problem;

D O I：

10.1134/S0012266115040138

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a sharp bound for the number of distinct linear particular integrals of a polynomial vector field with coprime components the maximum of whose degrees is not less than 2.

引用

页码：563 / 565

页数：3

共 50 条

[41] All meromorphic solutions of some algebraic differential equations and their applications
Yuan, Wenjun
Li, Yezhou
Qi, Jianming
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[42] All meromorphic solutions of some algebraic differential equations and their applications
Wenjun Yuan
Yezhou Li
Jianming Qi
[J]. Advances in Difference Equations, 2014
[43] Movable Singular Points of Ordinary Differential Equations with Algebraic Singularities of the Right-Hand Side
S. L. Sobolevskii
[J]. Differential Equations, 2003, 39 : 381 - 386
[44] General linear methods for the numerical solution of functional-differential equations
Pimenov, VG
[J]. DIFFERENTIAL EQUATIONS, 2001, 37 (01) : 116 - 127
[45] General Linear Methods for the Numerical Solution of Functional-Differential Equations
V. G. Pimenov
[J]. Differential Equations, 2001, 37 : 116 - 127
[46] LINEAR SYSTEM OF DIFFERENTIAL EQUATIONS WITH TURNING POINT
Klyuchnyk, I. H.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2010, 62 (05) : 716 - 738
[47] On splitting of linear nonstationary systems of differential equations
Grigoryan F.P.
[J]. Journal of Mathematical Sciences, 2010, 165 (2) : 190 - 199
[48] Stability of linear differential equations of third order
Abdollahpour, M. R.
Najati, A.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (11) : 1827 - 1830
[49] Linear system of differential equations with turning point
I. H. Klyuchnyk
[J]. Ukrainian Mathematical Journal, 2010, 62 : 716 - 738
[50] On the solution of linear differential equations in Lie groups
Iserles, A
Norsett, SP
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 357 (1754): : 983 - 1019

← 1 2 3 4 5 →