Bifurcation at infinity for equations in spaces of vector-valued functions

被引：6

作者：

Diamond, P

Kloeden, PE

Krasnoselskii, AM

Pokrovskii, AV

机构：

[1] RUSSIAN ACAD SCI,INST INFORMAT TRANSMISS PROBLEMS,MOSCOW 101447,RUSSIA

[2] DEAKIN UNIV,CADSEM,GEELONG,VIC 3217,AUSTRALIA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1997年 / 63卷

关键词：

D O I：

10.1017/S1446788700000689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

New existence conditions, under which an index at infinity can be calculated, are given for bifurcations at infinity of asymptotically linear equations in spaces of vector-valued functions. The case where a bounded nonlinearity has discontinuous principal homogeneous part is considered. The results are applied to 2 pi-periodic problems for two-dimensional systems of ordinary differential equations and to a vector two-point boundary value problem.

引用

页码：263 / 280

页数：18

共 13 条

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