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Stability of solutions of a system of differential equations with discontinuous right-hand sides in the critical case

✍ Scribed by V.Ia Turin

Publisher: Elsevier Science
Year: 1965
Tongue: English
Weight: 573 KB
Volume: 29
Category: Article
ISSN: 0021-8928
DOI: 10.1016/0021-8928(65)90130-9

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