Bounded solutions of Carathéodory differential inclusions: a bound sets approach-Reference-Cited by-同舟云学术

Bounded solutions of Carathéodory differential inclusions: a bound sets approach

Published:2003 Issue:9 Volume:2003 Page:547-571
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Andres Jan¹,Malaguti Luisa²,Taddei Valentina³

Affiliation:

1. Department of Mathematical Analysis, Faculty of Science, Palacký University, Tomkova 40, Olomouc 779 00, Czech Republic

2. Department of Engineering Sciences and Methods, University of Modena and Reggio Emilia, Via Fogliani 1, Reggio Emilia 42100, Italy

3. Department of Mathematics and Informatics, University of Udine, Viadelle Scienze 206, Udine 33100, Italy

Abstract

A bound sets technique is developed for Floquet problems of Carathéodory differential inclusions. It relies on the construction of either continuous or locally ipschitzian Lyapunov-like bounding functions. Proceeding sequentially, the existence of bounded trajectories is then obtained. Nontrivial examples are supplied to illustrate our approach.

Funder

Council of Czech Government

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2003/862474.pdf

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