Singularly perturbed functional-differential inclusions |
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| Authors: | Tzanko Donchev and Iordan Slavov |
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| Affiliation: | (1) Department of Mathematics, University of Mining and Geology, 1156 Sofia, Bulgaria;(2) Institute of Applied Mathematics and Informatics, Technical University, 1000 Sofia, Bulgaria |
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| Abstract: | Differential inclusions of a retarded type with a small real parameter  >0 in part of the derivatives are considered. We prove upper semicontinuity of the map   set of solutions at =0+ inC[0, 1]×(L2(0, 1)–weak) topology. In case of constant delay lower semicontinuity inC[0, 1]×(L1(0, 1)–strong) is shown. |
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| Keywords: | Primary: 34A60, 34E15 Secondary: 49J24, 34K99 |
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