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Convergence and Viability Theorems

Jean-Pierre Aubin (), Alexandre M. Bayen () and Patrick Saint-Pierre ()
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Jean-Pierre Aubin: VIMADES
Alexandre M. Bayen: University of California at Berkeley, Electrical Engineering and Computer Sciences Civil and Environmental Engineering
Patrick Saint-Pierre: Université Paris Dauphine LEDA-SDFi

Chapter Chapter 19 in Viability Theory, 2011, pp 769-787 from Springer

Abstract: 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).

Keywords: Banach Space; Weakened Topology; Tangential Condition; Continuous Linear Functional; Weak Closure (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-16684-6_19

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DOI: 10.1007/978-3-642-16684-6_19

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