Boundedness analysis of stochastic delay differential equations with Lévy noise

He, Defeng; Xu, Liguang

doi:10.1016/j.amc.2021.126902

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2022

2024

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“…Future consideration of conformable fractional Volterra-type delay impulsive differential systems can also be explored by extending the non-Volterra conformable fractional model proposed in [36] and, also, the extensions to the case of stochastic delay differential systems. See, for instance, [37][38][39][40][41].…”

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confidence: 99%

A Study of the Stability of Integro-Differential Volterra-Type Systems of Equations with Impulsive Effects and Point Delay Dynamics

De la Sen

2024

Mathematics

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This research relies on several kinds of Volterra-type integral differential systems and their associated stability concerns under the impulsive effects of the Volterra integral terms at certain time instants. The dynamics are defined as delay-free dynamics contriobution together with the contributions of a finite set of constant point delay dynamics, plus a Volterra integral term of either a finite length or an infinite one with intrinsic memory. The global asymptotic stability is characterized via Krasovskii–Lyapuvov functionals by incorporating the impulsive effects of the Volterra-type terms together with the effects of the point delay dynamics.

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