Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay

Cemil Tunç, Fahir Talay Akyildiz and Valerii Obukhovskii

Journal of Mathematics, 2024, vol. 2024, 1-13

Abstract: In this article, we consider nonlinear neutral Volterra integro-differential equations (NVIDEs) including infinite delay. We prove three new theorems with regard to the stability, the uniform stability, and the instability of zero solution of the NVIDEs. The new results of this article include sufficient conditions and the technique of the proofs is based on the Lyapunov-KrasovskiÄ­ functional (LKF) approach. By this article, some results that can be found in the literature are extended and improved from the linear case to nonlinear cases and contributed.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5924082

DOI: 10.1155/2024/5924082

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