BIFURCATION AT INFINITY FOR EQUATIONS IN SPACES OF VECTOR-VALUED FUNCTIONS

Authors
DIAMOND P KLOEDEN PE KRASNOSELSKII AM POKROVSKII AV
Citation
P. Diamond et al., BIFURCATION AT INFINITY FOR EQUATIONS IN SPACES OF VECTOR-VALUED FUNCTIONS, Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics, 63, 1997, pp. 263-280
Citations number
13
Categorie Soggetti
Mathematics, General","Statistic & Probability",Mathematics,"Statistic & Probability
Journal title
Journal of the Australian Mathematical Society. Series A. Pure mathematics and statistics → ACNP
ISSN journal
02636115
Volume
63
Year of publication
1997
Part
2
Pages
263 - 280
Database
ISI
SICI code
0263-6115(1997)63:<263:BAIFEI>2.0.ZU;2-K
Abstract
New existence conditions, under which an index at infinity can be calc ulated, are given for bifurcations at infinity of asymptotically linea r equations in spaces of vector-valued functions. The case where a bou nded nonlinearity has discontinuous principal homogeneous part is cons idered. The results are applied to 2 pi-periodic problems for two-dime nsional systems of ordinary differential equations and to a vector two -point boundary value problem.