Variational principle for stochastic singular control of mean-field Levy-forward-backward system driven by orthogonal Teugels martingales with application

dc.contributor.author Mokhtar Hafayed
dc.contributor.author Shahlar Meherrem
dc.contributor.author Deniz H. Gucoglu
dc.contributor.author Saban Eren
dc.contributor.author Hafayed, Mokhtar
dc.contributor.author Meherrem, Shahlar
dc.contributor.author Gucoglu, Deniz H.
dc.contributor.author Eren, Saban
dc.date.accessioned 2025-10-06T16:21:13Z
dc.date.issued 2017
dc.description.abstract We consider stochastic singular control for mean-field forward-backward stochastic differential equations driven by orthogonal Teugels martingales associated with some Levy processes having moments of all orders and an independent Brownian motion. Under partial information necessary and sufficient conditions for optimality in the form of maximum principle for this mean-field system are established by means of convex variation methods and duality techniques. As an illustration this paper studies a partial information mean-variance portfolio selection problem driven by orthogonal Teugels martingales associated with gamma process as Levy process of bounded variation.
dc.description.sponsorship Tubitak, Turkey [2221]
dc.description.sponsorship The authors would like to thank the anonymous referee for valuable comments, which led to a much better version of this article. This work was supported by Tubitak Grant 2221, Turkey.
dc.identifier.doi 10.1504/IJMIC.2017.085944
dc.identifier.issn 1746-6172
dc.identifier.issn 1746-6180
dc.identifier.scopus 2-s2.0-85048706425
dc.identifier.uri http://dx.doi.org/10.1504/IJMIC.2017.085944
dc.identifier.uri https://gcris.yasar.edu.tr/handle/123456789/6758
dc.identifier.uri https://doi.org/10.1504/IJMIC.2017.085944
dc.language.iso English
dc.publisher INDERSCIENCE ENTERPRISES LTD
dc.relation.ispartof International Journal of Modelling, Identification and Control
dc.rights info:eu-repo/semantics/closedAccess
dc.source INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL
dc.subject controlled forward-backward system, maximum principle, orthogonal Teugels martingales, Levy processes, singular control, mean-field stochastic system, partial information, gamma process
dc.subject MAXIMUM PRINCIPLE, DIFFERENTIAL-EQUATIONS, SUFFICIENT CONDITIONS, DIFFUSION, STATE, DELAY, JUMPS
dc.subject Orthogonal Teugels Martingales
dc.subject Mean-Field Stochastic System
dc.subject Levy Processes
dc.subject Controlled Forward-Backward System
dc.subject Partial Information
dc.subject Singular Control
dc.subject Gamma Process
dc.subject Maximum Principle
dc.title Variational principle for stochastic singular control of mean-field Levy-forward-backward system driven by orthogonal Teugels martingales with application
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gdc.description.departmenttemp [Hafayed, Mokhtar] Biskra Univ, Lab Appl Math, POB 145, Biskra 07000, Algeria; [Meherrem, Shahlar; Gucoglu, Deniz H.; Eren, Saban] Yasar Univ, Fac Sci & Letters, Dept Math, Izmir, Turkey
gdc.description.endpage 113
gdc.description.issue 2
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
gdc.description.startpage 97
gdc.description.volume 28
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gdc.virtual.author Meherrem, Şahlar
gdc.virtual.author Eren, Şaban
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person.identifier.orcid Hafayed- Mokhtar/0000-0002-8915-9530,
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