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Convergence and Viability Theorems

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Viability Theory

Abstract

This chapter is mainly devoted to the proof of a series of Viability Theorems leading to Theorem 11.3.4, p.393. This is done by approximating the differential inclusion by the simple explicit finite-difference scheme (the Euler method). In this setting, being a discrete scheme, the viability characterization of an environment is trivial (see Theorem 2.9.3, p.72).

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Correspondence to Jean-Pierre Aubin .

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© 2011 Springer-Verlag Berlin Heidelberg

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Aubin, JP., Bayen, A.M., Saint-Pierre, P. (2011). Convergence and Viability Theorems. In: Viability Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16684-6_19

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