Semilinear multivalued equations are considered, in separable Ba-nach spaces with the Radon-Nikodym property. An effective criterion for the existence of solutions to the associated Floquet boundary value problem is showed. Its proof is obtained combining a continuation principle with a Liapunov-like technique and a Scorza-Dragoni type theorem. A strictly localized transversality condition is assumed. The employed method enables to localize the solution values in a not necessarily invariant set; it allows also to introduce nonlinearities with superlinear growth in the state variable.

Strictly localized bounding functions and Floquet boundary value problems / S., Cecchini; MALAGUTI, Luisa; TADDEI, Valentina. - In: ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. - ISSN 1417-3875. - ELETTRONICO. - 2011:47(2011), pp. 1-18. [10.14232/ejqtde.2011.1.47]

Strictly localized bounding functions and Floquet boundary value problems

MALAGUTI, Luisa;TADDEI, Valentina
2011

Abstract

Semilinear multivalued equations are considered, in separable Ba-nach spaces with the Radon-Nikodym property. An effective criterion for the existence of solutions to the associated Floquet boundary value problem is showed. Its proof is obtained combining a continuation principle with a Liapunov-like technique and a Scorza-Dragoni type theorem. A strictly localized transversality condition is assumed. The employed method enables to localize the solution values in a not necessarily invariant set; it allows also to introduce nonlinearities with superlinear growth in the state variable.
2011
47
1
18
Strictly localized bounding functions and Floquet boundary value problems / S., Cecchini; MALAGUTI, Luisa; TADDEI, Valentina. - In: ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS. - ISSN 1417-3875. - ELETTRONICO. - 2011:47(2011), pp. 1-18. [10.14232/ejqtde.2011.1.47]
S., Cecchini; MALAGUTI, Luisa; TADDEI, Valentina
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/659635
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