Version 1
: Received: 30 October 2023 / Approved: 31 October 2023 / Online: 31 October 2023 (09:15:33 CET)
How to cite:
Tunç, C.; Akyıldız, F.T.; AbaOud, M. Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay. Preprints2023, 2023102042. https://doi.org/10.20944/preprints202310.2042.v1
Tunç, C.; Akyıldız, F.T.; AbaOud, M. Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay. Preprints 2023, 2023102042. https://doi.org/10.20944/preprints202310.2042.v1
Tunç, C.; Akyıldız, F.T.; AbaOud, M. Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay. Preprints2023, 2023102042. https://doi.org/10.20944/preprints202310.2042.v1
APA Style
Tunç, C., Akyıldız, F.T., & AbaOud, M. (2023). Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay. Preprints. https://doi.org/10.20944/preprints202310.2042.v1
Chicago/Turabian Style
Tunç, C., Fahir Talay Akyıldız and Mohammed AbaOud. 2023 "Improved Stability and Instability Results for Neutral Integro-Differential Equations including Infinite Delay" Preprints. https://doi.org/10.20944/preprints202310.2042.v1
Abstract
In this study, we deal with a nonlinear system of neutral Volterra integro-differential equations (NVIDEs) with infinite delay. We study stability, uniform stability and instability of zero solution of the system of NVIDEs with infinite delay. We obtain three new results with regard to these concepts via two new Lyapunov– Krasovskii functionals (LKFs), respectively. As the main contributions of this work, we improve and generalize some earlier results in the relevant database from the linear case to more general nonlinear cases.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.