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Bound sets for floquet boundary value problems: The nonsmooth case

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  • 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.
    Mathematics Subject Classification: Primary: 34B15.


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