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April  2000, 6(2): 459-473. doi: 10.3934/dcds.2000.6.459

Bound sets for floquet boundary value problems: The nonsmooth case

Valentina Taddei 1,

1. 

Departement de Mathematique, Chemin du Cyclotron 2, 1348 Louvain-La-Neuve, Belgium

Received  February 1999 Revised  October 1999 Published  January 2000

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.
Keywords: Floquet boundary conditions., Continuation theorem, Bound sets.
Mathematics Subject Classification: Primary: 34B1.
Citation: Valentina Taddei. Bound sets for floquet boundary value problems: The nonsmooth case. Discrete and Continuous Dynamical Systems, 2000, 6 (2) : 459-473. doi: 10.3934/dcds.2000.6.459
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