Abstract
The small C1 perturbations of differential equations are studied. The concepts of a weakly hyperbolic set K and a leaf ϒ are introduced for a system of ordinary differential equations. The Lipschitz condition is not supposed. It is shown that, if the perturbation is small enough, then there exists a continuous mapping h: ϒ → ϒY, where ϒY is a leaf of the perturbed system.
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More From: Vestnik St. Petersburg University: Mathematics
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