Geodesic
A viability result for second-order differential inclusions
Electronic journal of differential equations, Tome 2002 (2002)
We prove a viability result for the second-order differential inclusion

$ x''\in F(x,x'),\quad (x(0), x'(0))=(x_0,y_0)\in Q:=K\times \Omega, $

where $K$ is a closed and $\Omega$ is an open subsets of $\mathbb{R}^m$, and is an upper semicontinuous set-valued map with compact values, such that $F(x,y) \subset \partial V(y)$, for some convex proper lower semicontinuous function $V$.
Classification : 34G20, 47H20
Keywords: second-order contingent set, subdifferential, viable solution 
@article{EJDE_2002__2002__a225,
     author = {Lupulescu,  Vasile},
     title = {A viability result for second-order differential inclusions},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1023.34010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a225/}
}
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AU  - Lupulescu,  Vasile
TI  - A viability result for second-order differential inclusions
JO  - Electronic journal of differential equations
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%A Lupulescu,  Vasile
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%J Electronic journal of differential equations
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Lupulescu,  Vasile. A viability result for second-order differential inclusions. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a225/