A bound sets technique is developed for Floquet problems to Carathèodory differential inclusions. It relies on the construction of either continuous or locally Lipschitzian Lyapunov-like bounding functions. Proceeding sequentially, the existence of bounded trajectories is then obtained. Nontrivial examples are supplied to illustrate our approach.
Bounded solutions of Carathéodory differential inclusions: a bound sets approach / J., Andres; Malaguti, Luisa; Taddei, Valentina. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 9:(2003), pp. 547-571. [10.1155/S108533750321006X]
Bounded solutions of Carathéodory differential inclusions: a bound sets approach
MALAGUTI, Luisa;TADDEI, Valentina
2003
Abstract
A bound sets technique is developed for Floquet problems to Carathèodory differential inclusions. It relies on the construction of either continuous or locally Lipschitzian Lyapunov-like bounding functions. Proceeding sequentially, the existence of bounded trajectories is then obtained. Nontrivial examples are supplied to illustrate our approach.
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