Periodic Solutions and Stability Analysis of Nonlinear Neutral Delay Equations With Infinite Delay via Fixed-Point Theorems

Mohamed Illafe, Haitham A. Makhzoum and Feras Yousef

International Journal of Differential Equations, 2025, vol. 2025, 1-13

Abstract: In this study, we establish sufficient conditions for the existence and uniqueness of periodic solutions for a generalized nonlinear neutral delay differential equation with infinite delay, using Krasnoselskii’s fixed-point theorem and the contraction mapping principle. We also prove the asymptotic stability of the trivial solution. In addition, we provide some illustrative examples to demonstrate the applicability of the results.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:2341487

DOI: 10.1155/ijde/2341487

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