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2000, Volume 6, Issue 2: 459-473. Doi: 10.3934/dcds.2000.6.459
This issue Previous Article Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions Next Article Positively homogeneous equations in the plane

Bound sets for floquet boundary value problems: The nonsmooth case

  • 1.

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

Received:  January 31, 1999
Revised:  September 30, 1999
Published:  March 2000
Abstract Related Papers Cited by
    Abstract
  • 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.

    Citation:
    shu

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