On a nonlocal Cauchy problem for differential inclusions

E. Gatsori, S. K. Ntouyas, Y. G. Sficas
2004 Abstract and Applied Analysis  
We establish sufficient conditions for the existence of solutions for semilinear differential inclusions, with nonlocal conditions. We rely on a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler andon the Schaefer's fixed-point theorem combined with lower semicontinuous multivalued operators with decomposable values.
doi:10.1155/s108533750430610x fatcat:bdjholukyraj7eh44hugluyeoy