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Volume 6, Issue 1
The Existence and Global $p$-Exponential Stability of Periodic Solution for Stochastic BAM Neural Networks with Delays

Yayu Li & Dingshi Li

DOI: 10.12150/jnma.2024.19

J. Nonl. Mod. Anal., 6 (2024), pp. 19-31.

Published online: 2024-03

[An open-access article; the PDF is free to any online user.]

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  • Abstract

In this paper, we consider a class of stochastic BAM neural networks with delays. By establishing new integral inequalities and using the properties of spectral radius of nonnegative matrix, some sufficient conditions for the existence and global $p$-exponential stability of periodic solution for stochastic BAM neural networks with delays are given. An example is provided to show the effectiveness of the theoretical results.

  • Keywords

Global $p$-exponential stability, periodic solution, BAM neural networks, stochastic.

  • AMS Subject Headings

35B10,60H15,93E15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-19, author = {Li , Yayu and Li , Dingshi}, title = {The Existence and Global $p$-Exponential Stability of Periodic Solution for Stochastic BAM Neural Networks with Delays}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {1}, pages = {19--31}, abstract = {

In this paper, we consider a class of stochastic BAM neural networks with delays. By establishing new integral inequalities and using the properties of spectral radius of nonnegative matrix, some sufficient conditions for the existence and global $p$-exponential stability of periodic solution for stochastic BAM neural networks with delays are given. An example is provided to show the effectiveness of the theoretical results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.19}, url = {http://global-sci.org/intro/article_detail/jnma/22964.html} }
TY - JOUR T1 - The Existence and Global $p$-Exponential Stability of Periodic Solution for Stochastic BAM Neural Networks with Delays AU - Li , Yayu AU - Li , Dingshi JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 19 EP - 31 PY - 2024 DA - 2024/03 SN - 6 DO - http://doi.org/10.12150/jnma.2024.19 UR - https://global-sci.org/intro/article_detail/jnma/22964.html KW - Global $p$-exponential stability, periodic solution, BAM neural networks, stochastic. AB -

In this paper, we consider a class of stochastic BAM neural networks with delays. By establishing new integral inequalities and using the properties of spectral radius of nonnegative matrix, some sufficient conditions for the existence and global $p$-exponential stability of periodic solution for stochastic BAM neural networks with delays are given. An example is provided to show the effectiveness of the theoretical results.

Li , Yayu and Li , Dingshi. (2024). The Existence and Global $p$-Exponential Stability of Periodic Solution for Stochastic BAM Neural Networks with Delays. Journal of Nonlinear Modeling and Analysis. 6 (1). 19-31. doi:10.12150/jnma.2024.19
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