Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 61, pp. 1-20.

Title: Existence of solutions to infinite systems of nonlinear integral equations on 
       the real half-axis
       
Author: Agnieszka Chlebowicz (Rzeszow Univ. of Technology, Rzeszow, Poland)

Abstract: 
 In this article we study the solvability of an infinite system of integral equations
 of Volterra-Hammerstein type in the space of functions defined, continuous and bounded
 on the real half-axis with values in the sequence space l<sub>1</sub>.
 We extend a known existence result for such an infinite system of integral equations
 and prove a theorem applicable to a wider class of considered infinite systems.
 We also give an example to show the usefulness of our result.

Submitted June 7, 2020. Published July 06, 2021.
Math Subject Classifications: 47H08, 45G15.
Key Words: Infinite system of integral equations; measure of noncompactness; fixed point theorem.