Approximation of differential inclusions
Sbornik. Mathematics, Tome 193 (2002) no. 2, pp. 187-203
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Methods for the approximation of a differential inclusion with right-hand side satisfying the Carathéodory conditions are considered. Necessary and sufficient conditions are obtained for the stability of the approximation of a differential inclusion under internal and external perturbations, which means that “small” changes (in the sense of the Hausdorff distance)
of the right-hand side of the inclusion result in a “small” change of the solution set.
@article{SM_2002_193_2_a1,
author = {A. I. Bulgakov and V. V. Skomorokhov},
title = {Approximation of differential inclusions},
journal = {Sbornik. Mathematics},
pages = {187--203},
publisher = {mathdoc},
volume = {193},
number = {2},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_2_a1/}
}
A. I. Bulgakov; V. V. Skomorokhov. Approximation of differential inclusions. Sbornik. Mathematics, Tome 193 (2002) no. 2, pp. 187-203. http://geodesic.mathdoc.fr/item/SM_2002_193_2_a1/