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Journal Articles Dynamic Systems and Applications Year : 2007

Bifurcation for systems involving Lipschitz continuous mappings at multiple eigenvalues

Saida Amraoui
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Mohamed Iguernane
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Abstract

Some results on the existence of bifurcation at multiple eigenvalues for abstract systems concerning Lipschitz continuous mappings in Banach spaces are proved. The obtained results improve some wellknown bifurcation results by Crandall and Rabinowitz, McLeod and Sattinger, Tan etc, in the case involving Lipschitz continuous mappings. An application to a system of partial differential equations will be given.
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Dates and versions

inria-00140346 , version 1 (05-04-2007)

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  • HAL Id : inria-00140346 , version 1

Cite

Saida Amraoui, Mohamed Iguernane. Bifurcation for systems involving Lipschitz continuous mappings at multiple eigenvalues. Dynamic Systems and Applications, 2007, 16, pp.187-202. ⟨inria-00140346⟩
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