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Periodic solutions of a class of non-autonomous second-order differential inclusion systems. (English) Zbl 1008.34033

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 X. P. Wu and C. L. Tang [J. Math. Anal. Appl. 236, No. 2, 227-235 (1999; Zbl 0971.34027)].
Reviewer: T.N.Pham (Hanoi)

MSC:

34C25 Periodic solutions to ordinary differential equations
49J24 Optimal control problems with differential inclusions (existence) (MSC2000)

Citations:

Zbl 0971.34027
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