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The stability of solutions for differential inclusions and differential equations in the sense of Baire category theory

โœ Scribed by J. Yu; G.X.-Z. Yuan; G. Isac

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
341 KB
Volume
11
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this paper, we prove that solutions of almost all (in 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 continuity of solutions for differential inclusions (respectively, differential equations) in initial conditions without traditional Lipschitz condition. (~) 1998 Elsevier Science Ltd. All rights reserved.

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