Continuous interpolation of solutions of Lipschitz inclusions

Authors
Broucke, M Arapostathis, A
Citation
M. Broucke et A. Arapostathis, Continuous interpolation of solutions of Lipschitz inclusions, J MATH ANAL, 258(2), 2001, pp. 565-572
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
258
Issue
2
Year of publication
2001
Pages
565 - 572
Database
ISI
SICI code
0022-247X(20010615)258:2<565:CIOSOL>2.0.ZU;2-9
Abstract
We show that given any finite set of trajectories of a Lipschitz differenti al inclusion there exists a continuous selection from the set of its soluti ons that interpolates the given trajectories. In addition, we present a res ult on lipschitzian selections. (C) 2001 Academic Press.