MMN-3050

S^p-almost periodic and S^p-almost automorphic solutions of an integral equation with infinite delay

  • Salsabil Hajjaji, University of Sousse, Department of Mathematics, Laboratory of Mathematical Physic, Specials Functions and Applications LR11ES35, Higher School of Sciences and Technology of Hammam Sousse, 4011, Hammam Sousse, Tunisia, salsabilhajjaji@gmail.com
  • Farouk Chérif, University of Sousse, Department of Mathematics, Laboratory of Mathematical Physic, Specials Functions and Applications LR11ES35, Higher School of Sciences and Technology of Hammam Sousse, 4011, Hammam Sousse, Tunisia, faroukcheriff@yahoo.fr

Abstract

In this paper, by using analytic techniques and a suitable fixed point theorem, we investigate the existence and uniqueness of Stepanov pseudo almost periodic and Stepanov-pseudo almost automorphic solutions for a class of nonlinear Voltera integral. Finally, as application we apply our theoretical results in order to study the solutions of logistic differential equation.


Vol. 22 (2021), No. 1, pp. 211-244
DOI: 10.18514/MMN.2021.3050


Download: MMN-3050