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Filippov Lemma for certain second order differential inclusions |
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| Authors: | Grzegorz Bartuzel Andrzej Fryszkowski | |
| Institution: | 1. Faculty of Mathematics and Information Science, Warsaw University of Technology, Koszykowa 75, 00-662, Warsaw, Poland |
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| Abstract: | In the paper we give an analogue of the Filippov Lemma for the second order differential inclusions   ![></img> </span> </span> where <em>p</em> <sub>0</sub> ?? <em>L</em> <sup>1</sup>0, 1]. Then there exists a solution <em>y</em> ?? <em>W</em> <sup>2,1</sup> to the above differential inclusions such that a.e. in 0, 1], <span class=](/static-content/0.5825/images/721/art%253A10.2478%252Fs11533-012-0119-2/MediaObjects/11533_2012_119_Fig3_HTML.gif)  | |
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