Demonstrates the existence of periodic solutions in nonlinear integral equations, suggesting broader applications in neural networks and integral equations.
We provide sufficient conditions for the existence of (ω,c)-periodic solutions of a general class of nonlinear functional integral equations. This study extends and generalizes previous contributions in the literature. As an application of the developed theory, we establish the existence of (ω,c)-periodic solutions for recurrent neural networks with time-varying coefficients and mixed delays, as well as for a class of nonlinear Volterra–Stieltjes integral equations with infinite delay.
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Ospino et al. (2026) studied this question.
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