4 research outputs found
Application of Pettis integration to differential inclusions with three-point boundary conditions in Banach spaces
This paper provide some applications of Pettis integration to differential inclusions in Banach spaces with three point boundary conditions of the form where is a convex valued multifunction upper semicontinuous on and is a lower semicontinuous multifunction. The existence of solutions is obtained under the non convexity condition for the multifunction , and the assumption that , , where the multifunctions are uniformly Pettis integrable