An Innovative Approach to the Product of k-Hybrid Functional Integral Equation

A. M. A. El-Sayed and Sh. M. Al-Issa

Abstract and Applied Analysis, 2025, vol. 2025, 1-12

Abstract: In this paper, our study focuses on exploring the solutions of a product of k-hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well-defined, and bounded solutions on the semi-infinite interval. Applying the technique of measures of noncompactness and Darbo fixed point theorem within the space BCR+ to demonstrate the existence of such solutions. Furthermore, we derive sufficient conditions to ensure the asymptotic stability of these solutions, supplemented by a practical example.MSC2020 Classification: 46E30, 45G10, 47H30, 47N20, and 47H10

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5708317

DOI: 10.1155/aaa/5708317

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