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Dynamic equations on time scales and generalized ordinary differential equations

✍ Scribed by Antonín Slavík


Book ID
113721396
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
221 KB
Volume
385
Category
Article
ISSN
0022-247X

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On Generalized Carathéodory's Conditions
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In this paper we prove that generalized Carathbdory's conditions (so called (G) ronditions) imply wellknown general conditions which guarantee existence and some properties of Nolutions of the Cauchy problem, in the Carathhdory sense, .B e. g. continuous dependence on initial ronditions.