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September 10, 2025Advances in Nonlinear AnalysisOpen Access

On the existence of solutions of infinite systems of Volterra-Hammerstein-Stieltjes integral equations

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Authors

ACAgnieszka ChlebowiczTwitter (United States)BRBeata RzepkaTwitter (United States)

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Overview

This article demonstrates solutions for infinite systems of integral equations, highlighting solvability in continuous functions.

Key Points

  • The study proves the solvability of an infinite system of Volterra-Hammerstein-Stieltjes integral equations.
  • An expansion of a known existence result is provided, advancing the understanding of these integral equations.
  • The research applies to a larger class of systems, enhancing the scope of potential solutions.
  • These results contribute to the field of functional analysis, especially concerning bounded and continuous functions.

Cite This Study

Chlebowicz et al. (2025) studied this question.

synapsesocial.com/papers/68c1d97154b1d3bfb60face8https://doi.org/10.1515/anona-2025-0105
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