EXISTENCE AND UNIQUENESS OF ANTI-PERIODIC SOLUTIONS FOR NONLINEAR THIRD-ORDER DIFFERENTIAL INCLUSIONS.

In this article, we study the existence of anti-periodic solutions for the third-order differential inclusion u"'(t) ∈ ∂φ(u'(t)) + F(t, u(t)) a.e. on [0, T] u(0) = -u(T); u'(0) = -u'(T); u"(0) = -u"(T); where φ is a proper convex, lower semicontinuous and even function, and F is an upper semicontinuous convex compact set-valued mapping. Also uniqueness of anti-periodic solution is studied. [ABSTRACT FROM AUTHOR]