Existence of solutions to infinite systems of nonlinear integral equations on the real half-axis

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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 oundedon the real half-axis with values in the sequence space \(l_1\). 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.
 For more information see https://ejde.math.txstate.edu/Volumes/2021/61/abstr.html