On the existence of mild solutions of semilinear functional differential inclusions

Authors

  • A. G. Ibrahim Cairo University
  • A. M. Soliman Ain Shams University

Keywords:

Semilinear functional differential inclusion, Generalized Cauchy operator, Mild solution, Measurable multifunction

Abstract

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

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Published

2008-08-06

Issue

Vol. 63 No. 1 (2008)

Section

Articoli

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