Abstract:In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.
Keywords: semilinear differential inclusion, selection theorem, mild solution, lower Scorza Dragoni multifunction, mild periodic solution.
AMS Subject Classification: 34A60 34G20