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BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
-
Irene Benedetti
,
Elena Panasenko
Published/Copyright:
July 30, 2010
Abstract
This article concerns an existence result for Floquet boundary value problems associated to semilinear differential inclusions with Carathéodory right hand side in a Hilbert space. We apply a continuation principle and we require a sharp (i.e., localized on the boundary) transversality condition. We give an application to a nonlinear partial differential inclusion with periodic conditions.
Keywords.: Differential inclusion in Hilbert space; Carathéodory solution; bounding function; bound set
Received: 2009-10-16
Revised: 2010-03-18
Published Online: 2010-07-30
Published in Print: 2010-December
© de Gruyter 2010
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Keywords for this article
Differential inclusion in Hilbert space;
Carathéodory solution;
bounding function;
bound set
Articles in the same Issue
- On multiobjective nonlinear programming with support functions
- Nirenberg-type problems in Banach lattices
- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
- Remarks on the spectrum of a compact convex set of compact operators
- Harmonic sums and integral representations
- On a nonlinear dynamic integrodifferential equation on time scales
- An oscillation criteria for third order neutral delay differential equations
- On univalent functions defined by a generalized differential operator
