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Research Article | Open Access

Stability of neutral highly nonlinear hybrid stochastic delayed systems with delayed impulses

Jia LiJin-E Zhang( )
School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China
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Abstract

This paper investigates the stability of a class of neutral highly nonlinear hybrid stochastic delayed systems with delayed impulses. Based on the comparison principle and stochastic analysis techniques, the lth moment asymptotic stability and the almost sure asymptotic stability of the argumented system are proven. Finally, the effectiveness of the theoretical results is demonstrated through two examples.

CLC number: 93C10, 93D40

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AIMS Mathematics
Pages 15626-15648

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Cite this article:
Li J, Zhang J-E. Stability of neutral highly nonlinear hybrid stochastic delayed systems with delayed impulses. AIMS Mathematics, 2026, 11(6): 15626-15648. https://doi.org/10.3934/math.2026642

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Received: 18 March 2026
Revised: 20 May 2026
Accepted: 26 May 2026
Published: 15 June 2026
©2026 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)