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Documentation

Viability theory in the strict sense is presented in the two volumes of [1] and [5]. Its founding has previously required the development of differential inclusions [7], of mutational equations governing the evolution of sets [2] and the creation of a calculus of set-valued maps [6]. Applications to dynamic economic theory is presented in [3] and financial theory in the second volume of [1].

[1] AUBIN J.-P., BAYEN A., BONNEUIL N. & SAINT-PIERRE P. (2010) Viability Theory: Regulation of Viable and Optimal Evolutions, Springer-Verlag

[2] AUBIN J.-P. (2000) Mutational and morphological analysis: tools for shape regulation and morphogenesis, Birkhäuser

[3] AUBIN J.-P. (1997) Dynamic economic theory: a viability approach, Springer-Verlag

[4] AUBIN J.-P. (1996) Neural networks and qualitative physics: a viability approach, Cambridge University Press

[5] AUBIN J.-P. (1991) Viability theory, Birkhäuser

[6] AUBIN J.-P. & FRANKOWSKA H. (1990) Set-valued analysis, Birkhäuser

[7] AUBIN J.-P. & CELLINA A. (1984) Differential inclusions, Springer-Verlag, Grundlehren der math. Wiss.

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