Well-Posedness and Exponential Estimates for the Solutions to Neutral Stochastic Functional Differential Equations with Infinite Delay

Asker Hussein K. ()
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Asker Hussein K.: Department of Mathematics, Faculty of Computer Science and Mathematics, Kufa University, Kufa, Iraq

Journal of Systems Science and Information, 2020, vol. 8, issue 5, 434-446

Abstract: In this work, neutral stochastic functional differential equations with infinite delay (NSFD-EwID) have been addressed. By using the Euler-Maruyama scheme and a localization argument, the existence and uniqueness of solutions to NSFDEwID at the state space Cr under the local weak monotone condition, the weak coercivity condition and the global condition on the neutral term have been investigated. In addition, the L2 and exponential estimates of NSFDEwID have been studied.

Keywords: neutral stochastic; functional differential equations; infinite delay; state space Cr; Euler-Maruyama scheme (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:8:y:2020:i:5:p:434-446:n:3

DOI: 10.21078/JSSI-2020-434-13

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