Geodesic
Second-order differential inclusions with Lipschitz right-hand sides
Electronic Journal of Differential Equations, Tome 2010 (2010).

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

Summary: We study the existence of solutions of a three-point boundary-value problem for a second-order differential inclusion, $$\displaylines{ \ddot u(t)\in F(t,u(t),\dot u(t)),\quad\hbox{a.e. }t\in [0,1],\cr u(0)=0, \quad u(\theta)=u(1). }$$ Here F is a set-valued mapping from $[0,1]\times E\times E$ to E with nonempty closed values satisfying a standard Lipschitz condition, and E is a separable Banach space.
Classification : 34A60, 34B15, 47H10
Keywords: differential inclusion, Lipschitz multifunction 
@article{EJDE_2010__2010__a44,
     author = {Azzam-Laouir, Dalila and Bounama, Fatiha},
     title = {Second-order differential inclusions with {Lipschitz} right-hand sides},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a44/}
}
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Azzam-Laouir, Dalila; Bounama, Fatiha. Second-order differential inclusions with Lipschitz right-hand sides. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a44/