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- W1968628252 abstract "Abstract We consider the nonlinear differential inclusion x′(t) ∈ Ax(t) + F(x(t)), where A is an m-dissipative operator on a separable Banach space X and F is a multi-function. We establish a viability result under Lipschitz hypothesis on F, that consists in proving the existence of solutions of the differential inclusion above, starting from a given set, which remain arbitrarily close to that set, if a tangency condition holds. To this end, we establish a kind of set-valued Gronwall’s lemma and a compactness theorem, which are extensions to the nonlinear case of similar results for semilinear differential inclusions. As an application, we give an approximate null controllability result." @default.
- W1968628252 created "2016-06-24" @default.
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- W1968628252 date "2014-01-01" @default.
- W1968628252 modified "2023-09-26" @default.
- W1968628252 title "Near viability for fully nonlinear differential inclusions" @default.
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- W1968628252 doi "https://doi.org/10.2478/s11533-014-0424-z" @default.
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