What question did this study set out to answer?

The research aims to establish conditions for the existence of periodic solutions in nonlinear functional integral equations.

April 15, 2026Open Access

Existence of (ω, c)-Periodic Solutions for a Class of Nonlinear Functional Integral Equations and Applications

Key Points

The research aims to establish conditions for the existence of periodic solutions in nonlinear functional integral equations.
Developed theoretical framework for existence conditions
Analyzed recurrent neural networks with time-varying coefficients and mixed delays
Examined nonlinear Volterra-Stieltjes integral equations with infinite delay
Identified sufficient conditions for periodic solutions
Applied findings to recurrent neural networks
Extended theoretical implications to a broader class of integral equations

Abstract

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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Authors

Jonathan González Ospino

Rogelio Grau

Journals

Mathematics

Actions

Institutions

Universidad del Norte

References and Citations

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Building similarity graph...

Analyzing shared references across papers

Existence of (ω, c)-Periodic Solutions for a Class of Nonlinear Functional Integral Equations and Applications

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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