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On the Cauchy problem for ordinary differential equations with discontinuous right-hand sides

✍ Scribed by Nizar Hassan; Witold Rzymowski


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
242 KB
Volume
152
Category
Article
ISSN
0022-247X

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The paper studies differential equations of the form u (x) = f (x, u(x), Ξ»(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 Ξ» are stated.