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