Periodic and boundary value problems for second order differential inclusions

[摘要] In this paper we study differential inclusions with boundary conditions in which the vector fieldF(t,x,y)is a multifunction with Caratheodory type conditions. We consider, first, the case whichFhas values inℝand we establish the existence of extremal solutions in the order interval determined by the lower and the upper solution. Then we prove the existence of solutions for a Dirichlet problem in the case in whichFtakes their values in a Hilbert space.

[学科分类] 应用数学