CONTINUATION THEOREMS FOR PERIODIC PERTURBATIONS OF AUTONOMOUS SYSTEMS

被引：125

作者：

CAPIETTO, A

MAWHIN, J

ZANOLIN, F

机构：

[1] SCUOLA INT SUPER STUDI AVANZATI,I-34014 TRIESTE,ITALY

[2] INST MATH,B-1348 LOUVAIN,BELGIUM

[3] UNIV UDINE,DEPT MATH & COMP SCI,I-33100 UDINE,ITALY

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 329卷 / 01期

关键词：

D O I：

10.2307/2154076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is first shown in this paper that, whenever it exists, the coincidence degree of the left-hand member of an autonomous differential equation x' - g(x) = 0, in the space of periodic functions with fixed period omega, can be computed in terms of the Brouwer degree of g. This result provides efficient continuation theorems specially for omega-periodic perturbations of autonomous systems. Extensions to differential equations in flow-invariant ENR's are also given.

引用

页码：41 / 72

页数：32

共 66 条

[1]

AMELKIN VV, 1975, DIFF EQUAT, V11, P1569

[2]

[Anonymous], 1964, ANN POL MATH

[3] PERIODIC BOUNDARY-VALUE PROBLEMS FOR SYSTEMS OF SECOND-ORDER DIFFERENTIAL EQUATIONS [J].