Geodesic
On the existence of viable solutions for a class of second order differential inclusions
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 22 (2002) no. 1, pp. 67-78.

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We prove the existence of viable solutions to the Cauchy problem x” ∈ F(x,x'), x(0) = x₀, x'(0) = y₀, where F is a set-valued map defined on a locally compact set M ⊂ R^2n, contained in the Fréchet subdifferential of a ϕ-convex function of order two.
Keywords: viable solutions, ϕ-monotone operators, differential inclusions 
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Cernea, Aurelian. On the existence of viable solutions for a class of second order differential inclusions. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 22 (2002) no. 1, pp. 67-78. http://geodesic.mathdoc.fr/item/DMDICO_2002_22_1_a3/

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