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- W4386482641 abstract "Abstract We prove a viability result for differential inclusions involving the Stieltjes derivative with respect to a left-continuous non-decreasing function with time dependent state constraints. A tangential condition using a generalized notion of the contingent derivative is imposed. Classical viability results (for usual differential inclusions) are thus generalized and, at the same time, the gate to new viability results for difference inclusions, impulsive differential inclusions or dynamic inclusions on time scales is open. As a consequence, in the particular case where the state constraint is a tube, a Filippov-type lemma is obtained for this very general setting, of differential problems driven by Stieltjes derivatives." @default.
- W4386482641 created "2023-09-07" @default.
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- W4386482641 date "2023-09-01" @default.
- W4386482641 modified "2023-09-27" @default.
- W4386482641 title "Viability and Filippov-type Lemma for Stieltjes Differential Inclusions" @default.
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- W4386482641 doi "https://doi.org/10.1007/s11228-023-00690-3" @default.
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