A note on monotone solutions for a nonconvex second-order functional differential inclusion

Abstract

The existence of monotone solutions for a second-order functional differential inclusion with Carath\'{e}odory perturbation is obtained in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the Fr\'{e}chet subdifferential of a $\phi $-convex function of order two.

Keywords

• Monotone solutions, $\phi $- monotone operators,