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A General Stochastic Maximum Principle for Singular Control Problems


 
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1. Title Title of document A General Stochastic Maximum Principle for Singular Control Problems
 
2. Creator Author's name, affiliation, country Seid Bahlali; University Med Khider, Algeria
 
2. Creator Author's name, affiliation, country Brahim Mezerdi; University Med Khider, Algeria
 
3. Subject Discipline(s)
 
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4. Description Abstract We consider the stochastic control problem in which the control domain need not be convex, the control variable has two components, the first being absolutely continuous and the second singular. The coefficients of the state equation are non linear and depend explicitly on the absolutely continuous component of the control. We establish a maximum principle, by using a spike variation on the absolutely continuous part of the control and a convex perturbation on the singular one. This result is a generalization of Peng's maximum principle to singular control problems.
 
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7. Date (YYYY-MM-DD) 2005-07-21
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/271
 
10. Identifier Digital Object Identifier 10.1214/EJP.v10-271
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 10
 
12. Language English=en
 
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