Le Matematiche (Dec 2011)

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

  • Aurelian Cernea

Journal volume & issue
Vol. 66, no. 2
pp. 23 – 33

Abstract

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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