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Existence and Hyers–Ulam Stability of Stochastic Delay Systems Governed by the Rosenblatt Process

Under the effect of the Rosenblatt process, time-delay systems of nonlinear stochastic delay differential equations are considered. Utilizing the delayed matrix functions and exact solutions for these systems, the existence and Hyers–Ulam stability results are derived. First, depending on the fixed...

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Hoofdauteurs: Ghada AlNemer, Mohamed Hosny, Ramalingam Udhayakumar, Ahmed M. Elshenhab
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: MDPI AG 2024-06-01
Reeks:Mathematics
Onderwerpen:
Hyers–Ulam stability
stochastic delay system
Rosenblatt process
delayed matrix function
Krasnoselskii’s fixed point theorem
Online toegang:https://www.mdpi.com/2227-7390/12/11/1729
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