Amine, SaidaMorchadi, RadouanSajid, Said2021-06-222021-06-222005-10-21Amine, S., Morchadi, R., & Sajid, S. (2005). Caratheodory perturbation of a second-order differential inclusion with constraints. <i>Electronic Journal of Differential Equations, 2005</i>(114), pp. 1-11.1072-6691https://hdl.handle.net/10877/13786We prove the existence of local solutions for the second-order viability problem ẍ(t) ∈ ƒ(t,x(t), ẋ(t)) + F(x(t), ẋ(t)), x(t) ∈ K. Here K is a closed subset of ℝn, F is an upper semicontinuous multifunction with compact values contained in the subdifferential of a convex proper lower semicontinuous function V, and ƒ is a Carathéodory function.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalUpper semicontinuous multifunctionCyclically monotoneCaratheodory functionsArticle