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Bound sets for Floquet boundary value problems: The nonsmooth case

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Valentina, T

We give a definition of bound set for a very general boundary value problem that generalizes those already known in literature. We then find sufficient conditions for the intersection of the sublevelsets of a family of scalar functions to be a bound set for the Floquet boundary value problem. Indeed we distinguish the two cases of locally Lipschitz continuous and only continuous scalar functions.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2000
Language Anglais
Journal information "Discrete and Continuous Dynamical Systems" - Vol. 6, no. 2, p. 459-473 (2000)
Peer reviewed yes
Publisher Southwest Missouri State Univ (Springfield)
issn 1078-0947
Publication status Publié
Affiliation UCL
Keywords continuation theorem ; bound sets ; Floquet boundary conditions
Links
Bibliographic reference Valentina, T. Bound sets for Floquet boundary value problems: The nonsmooth case. In: Discrete and Continuous Dynamical Systems, Vol. 6, no. 2, p. 459-473 (2000)
Permanent URL http://hdl.handle.net/2078.1/43692