Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 43, pp. 1-15. Title: Positive Stepanov-like almost automorphic solutions for systems of nonlinear delay integral equations Authors: Abdellatif Sadrati (Univ. Moulay Ismail of Meknes, Errachidia, Morocco) Abderrahim Zertiti (Univ. Abdelmalek Essaadi, Tetouan, Morocco) Abstract: In this article we show the existence of positive Stepanov-like almost automorphic solutions for systems of nonlinear delay integral equations. To do this, we apply the well-known Guo-Krasnosel'skii fixed point theorem for cone expansion and compression. Submitted October 4, 2019. Published May 25, 2021. Math Subject Classifications: 45G15, 47H10, 47H30. Key Words: Nonlinear delay integral system; fixed point in cone; Stepanov-like almost automorphic solution.