VIABILITY THEOREMS AND AN APPLICATION
In this paper the techniques from [4] are generalized to the nonautonomous case. We study the existence of solutions of nonautonomous differential inclusions with right-hand side satisfying the following Caratheodory conditions: upper semicontinuity with respect to the state variable and measurabili...
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| Published in | Comptes rendus de l'Academie bulgare des Sciences Vol. 70; no. 3; p. 321 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Bulgarian Academy of Sciences
01.01.2017
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| Online Access | Get full text |
| ISSN | 1310-1331 |
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| Summary: | In this paper the techniques from [4] are generalized to the nonautonomous case. We study the existence of solutions of nonautonomous differential inclusions with right-hand side satisfying the following Caratheodory conditions: upper semicontinuity with respect to the state variable and measurability with respect to time. We propose a concept for invariant ([epsilon], [I.sub.[epsilon])]-approximation with convex-valued upper semicontinuous Caratheodory mappings on the elements of a relatively open partitioning. We announce a result of Olech type generalizing the known theorems in the field in the finite-dimensional case.Key words: differential inclusions with nonconvex right-hand side, existence of solutions2010 Mathematics Subject Classification: 34A36, 34A60 |
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| ISSN: | 1310-1331 |