The solvability of Floquet boundary value problems is investigated for upper-Caratheodory differential inclusions by means of strictly localized C-2-bounding functions. The existence of an entirely bounded solution is obtained in a sequential way. Our criteria can be regarded as a multivalued extension of recent results of Mawhin and Thompson concerning periodic and bounded solutions of Caratheodory differential equations. A simple illustrating example is supplied.
A bounding functions approach to multivalued boundary value problems / J., Andres; Malaguti, Luisa; Taddei, Valentina. - In: DYNAMIC SYSTEMS AND APPLICATIONS. - ISSN 1056-2176. - STAMPA. - 16:1(2007), pp. 37-47.
A bounding functions approach to multivalued boundary value problems
MALAGUTI, Luisa;TADDEI, Valentina
2007
Abstract
The solvability of Floquet boundary value problems is investigated for upper-Caratheodory differential inclusions by means of strictly localized C-2-bounding functions. The existence of an entirely bounded solution is obtained in a sequential way. Our criteria can be regarded as a multivalued extension of recent results of Mawhin and Thompson concerning periodic and bounded solutions of Caratheodory differential equations. A simple illustrating example is supplied.
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