Periodic solutions of a class of non-autonomous second-order differential inclusion systems (Q1599952)

The results on a second-order differential inclusion system with the Clarke subdifferential \( \partial F \) of the form \( {\ddot u}(t) \in \partial F(t,u(t))\) a.e. on [0,T], \( F = F_1 + F_2\), \(u(0)-u(T)= {\dot u} (0) - {\dot u} (T) = 0\), are obtained as extensions of the author's previous paper when letting \(F_1 =0\) [Periodic solutions for second-order differential inclusions with sublinear nonlinearity, Panamer. Math. J. 10, No. 4, 35-45 (2000)] and of the paper of \textit{X. P. Wu} and \textit{C. L. Tang} [J. Math. Anal. Appl. 236, No. 2, 227-235 (1999; Zbl 0971.34027)].