Innovative Aspects of the Solvability of Multiterm Hybrid Functional Equations via Nonlocal Hybrid Conditions

Abstract

This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique solution on some factors. In addition, the existence of integrable solutions is examined, broadening the theoretical applicability of these results. Finally, to demonstrate the utility of the approach, an example is provided, showcasing the effectiveness of the proposed method in handling several hybrid problems.