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Un algorithme déterminant les noyaux de viabilité pour des inclusions différentielles avec contraintes. (An algorithm for viability kernels of differential inclusions with constraints). (French) Zbl 0719.58007
Consider a system whose evolution is described by the following differential inclusion: (1) for almost all \(t\geq 0\), \(x'(t)\in F(x(t))\) where F is a fixed correspondence on the finite dimensional space X. If K is a closed set in X, the viability kernel is the set of the initial conditions such that the corresponding solutions remain in K. The authors provide an algorithm for the determination of the viability kernel for a given K.
Reviewer: V.Oproiu (Iaşi)

MSC:
58D25 Equations in function spaces; evolution equations
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