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 l1. 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 6, 2021.
Math Subject Classifications: 47H08, 45G15.
Key Words: Infinite system of integral equations; measure of noncompactness; fixed point theorem.
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| Agnieszka Chlebowicz |
Department of Nonlinear Analysis
Rzeszów University of Technology
al. Powstańców Warszawy 8, 35-959 Rzeszów, Poland
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