THE STABILITY OF SOLUTIONS FOR DIFFERENTIAL-INCLUSIONS AND DIFFERENTIAL-EQUATIONS IN THE SENSE OF BAIRE CATEGORY THEORY

Authors
YU J YUAN GXZ ISAC G
Citation
J. Yu et al., THE STABILITY OF SOLUTIONS FOR DIFFERENTIAL-INCLUSIONS AND DIFFERENTIAL-EQUATIONS IN THE SENSE OF BAIRE CATEGORY THEORY, Applied mathematics letters, 11(4), 1998, pp. 51-56
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
11
Issue
4
Year of publication
1998
Pages
51 - 56
Database
ISI
SICI code
0893-9659(1998)11:4<51:TSOSFD>2.0.ZU;2-J
Abstract
In this paper, we prove that solutions of almost all tin the sense of Baire category theory) differential inclusions are stable by the Baire category theory. This allows us to open a new way to study the contin uity of solutions for differential inclusions (respectively, different ial equations) in initial conditions without traditional Lipschitz con dition. (C) 1998 Elsevier Science Ltd. All rights reserved.