Parameter dependence for a class of ordinary differential equations with measurable right‐hand side |
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| Authors: | Daniela Klose Friedemann Schuricht |
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| Institution: | 1. Best Practice Consulting AG, Münzstra?e 36, 48143 Münster, Germany;2. Technische Universit?t Dresden, Fachbereich Mathematik, 01062 Dresden, Germany |
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| Abstract: | The paper studies differential equations of the form u′(x) = f(x, u(x), λ(x)), u(x0) = u0, where the right‐hand 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. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim |
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| Keywords: | Ordinary differential equations parameter dependence MSC (2010) 34A12 34A34 34A36 |
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