Smooth dependence of solutions of differential equations on initial data: A simple proof

A simple proof of smooth dependence of solutions of ordinary differential equations, with respect to initial conditions, is given.

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References (2)

I. C. Oliveira (1971)
Variedades Invariantes de Pontos Fixos
M. Hirsch, C. Pugh (1969)
Stable manifolds for hyperbolic sets
Bulletin of the American Mathematical Society, 75

Publisher: Springer Journals
Copyright: Copyright © 1973 by Sociedade Brasileira de Matemática
Subject: Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN: 1678-7544
eISSN: 1678-7714
DOI: 10.1007/BF02584856
Publisher site: See Article on Publisher Site

A simple proof of smooth dependence of solutions of ordinary differential equations, with respect to initial conditions, is given.

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Mar 5, 2007