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- W3081761189 abstract "We derive some sufficient conditions for the existence of a square-mean almost automorphic solution for a stochastic cellular neural network on time scales by using Krasnoselskii’s fixed point theorem. The Banach contraction principle is also used to show the uniqueness of a solution with some additional restrictions. Exponential stability of the obtained solution is also discussed by taking a suitable Lyapunov functional on time scale. At the end, we give a numerical example to illustrate the effectiveness of the obtained theoretical results. Our results are valid for general time scale, and the cases 𝕋=ℝ or ℤ are particular cases." @default.
- W3081761189 created "2020-09-08" @default.
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- W3081761189 date "2020-06-01" @default.
- W3081761189 modified "2023-10-16" @default.
- W3081761189 title "Square-mean almost automorphic solution of a stochastic cellular neural network on time scales" @default.
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- W3081761189 doi "https://doi.org/10.1216/jie.2020.32.151" @default.
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