On the existence of mild solutions of semilinear functional differential inclusions

  • A. G. Ibrahim Cairo University
  • A. M. Soliman Ain Shams University
Keywords: Semilinear functional differential inclusion, Generalized Cauchy operator, Mild solution, Measurable multifunction


In this paper the existence of local and global mild solution of a semi-linear functional differential inclusion in the case when the kernel is not necessarily compact is proved. Also, some topological properties of the solution set are obtained.

Author Biographies

A. G. Ibrahim, Cairo University
Department of Mathematics
Faculty of Science
Cairo, Egypt
A. M. Soliman, Ain Shams University
Department of Mathematics
University College for Women
Cairo, Egypt