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Bifurcation for systems involving Lipschitz continuous mappings at multiple eigenvalues

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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https://hal.inria.fr/inria-00140346
Contributor : Mohamed Iguernane <>
Submitted on : Thursday, April 5, 2007 - 8:23:39 PM
Last modification on : Friday, February 26, 2021 - 3:22:00 AM

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  • HAL Id : inria-00140346, version 1

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

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