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An existence theorem for a class of differential equations with multivalued right-hand side

โœ Scribed by Claude Henry

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
289 KB
Volume
41
Category
Article
ISSN
0022-247X

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The paper studies differential equations of the form u (x) = f (x, u(x), ฮป(x)), u(x0 ) = u0 , where the righthand side is merely measurable in x. In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter ฮป are stated.