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

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  • Cemil Tunç
  • Fahir Talay Akyildiz
  • Valerii Obukhovskii

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.

Suggested Citation

  • Cemil Tunç & Fahir Talay Akyildiz & Valerii Obukhovskii, 2024. "Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay," Journal of Mathematics, Hindawi, vol. 2024, pages 1-13, June.
    • Handle: RePEc:hin:jjmath:5924082
    DOI: 10.1155/2024/5924082
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