Bound sets for Floquet boundary value problems: The nonsmooth case
(2000) Discrete and Continuous Dynamical Systems — Vol. 6, n° 2, p. 459-473 (2000)
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- 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.
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Valentina, T. (2000). Bound sets for Floquet boundary value problems: The nonsmooth case. Discrete and Continuous Dynamical Systems, 6(2), 459-473. https://doi.org/10.3934/dcds.2000.6.459 (Original work published 2000)