This paper focuses on existence, uniqueness, and stability analysis of solutions for a new kind of delayed integro-differential neural networks with Markovian switches in delays and noises. The studied system combines many types of integro-differential neural network treatises in the literature. After having presented the studied system, the existence and uniqueness of solutions are shown under Lipschitz condition. By using the Lyapunov-Krasovskii functional, some stochastic analysis techniques and the M-matrix approach, stochastic stability, and general decay stability are established. Finally, a numerical example is given to validate the main established theoretical results.
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Imzegouan, C., Zouine, A., Bouzahir, H., Tunç, C. (2023). Stability for neutral-type integro-differential neural networks with random switches in noise and delay. Computational Methods for Differential Equations, 11(1), 65-80. doi: 10.22034/cmde.2022.49283.2056
Chafai Imzegouan; Aziz Zouine; Hassane Bouzahir; Cemil Tunç. "Stability for neutral-type integro-differential neural networks with random switches in noise and delay". Computational Methods for Differential Equations, 11, 1, 2023, 65-80. doi: 10.22034/cmde.2022.49283.2056
Imzegouan, C., Zouine, A., Bouzahir, H., Tunç, C. (2023). 'Stability for neutral-type integro-differential neural networks with random switches in noise and delay', Computational Methods for Differential Equations, 11(1), pp. 65-80. doi: 10.22034/cmde.2022.49283.2056
Imzegouan, C., Zouine, A., Bouzahir, H., Tunç, C. Stability for neutral-type integro-differential neural networks with random switches in noise and delay. Computational Methods for Differential Equations, 2023; 11(1): 65-80. doi: 10.22034/cmde.2022.49283.2056