EXISTENCE OF NONTRIVIAL PERIODIC-SOLUTIONS OF CERTAIN NONAUTONOMOUS ORDINARY DIFFERENTIAL-EQUATIONS

被引：0

作者：

SMITH, RA

机构：

[1] University of Durham, Durham

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1979年 / 33卷 / 02期

关键词：

D O I：

10.1016/0022-0396(79)90084-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Degree theory is used to establish sufficient conditions for the existence of a non-trivial periodic solution of the vector differential equation f(D)x + BMg(D)x = 0, which generalises the feedback control equation. These conditions require that the matrix M should satisfy two elliptic ball criteria, one of which is relevant near the origin of the phase space and the other near the point at infinity. © 1979.

引用

页码：147 / 158

页数：12

共 10 条

[1]

Brockett, 1970, FINITE DIMENSIONAL L

[2] RAPID OSCILLATION, NONEXTENDABILITY, AND EXISTENCE OF PERIODIC-SOLUTIONS TO 2ND ORDER NONLINEAR ORDINARY DIFFERENTIAL-EQUATIONS [J].