Geodesic
A viability result for second-order differential inclusions
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Lupulescu, Vasile},
     title = {A viability result for second-order differential inclusions},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a25/}
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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__a25/