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

Aurelian Cernea

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,

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