Multi-Dimensional Backward Stochastic Riccati Equations, and Applications

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2000
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Tang, Shanjian
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Zusammenfassung

Multi-dimensional backward stochastic Riccati differential equations (BSRDEs in short) are studied. A closed property for solutions of BSRDEs with respect to their coeficients is stated and is proved for general BSRDEs, which is used to obtain the existence of a global adapted solution to some BSRDEs. The global existence and uniqueness results are obtained for two classes of BSRDEs, whose generators contain a quadratic term of L (the second unknown component).

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
backward stochastic Ricatti equation, stochastic linear-quadratic control problem, algebraic transformation, Feynman-Kac formula
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ISO 690KOHLMANN, Michael, Shanjian TANG, 2000. Multi-Dimensional Backward Stochastic Riccati Equations, and Applications
BibTex
@techreport{Kohlmann2000Multi-642,
  year={2000},
  series={CoFE-Diskussionspapiere / Zentrum für Finanzen und Ökonometrie},
  title={Multi-Dimensional Backward Stochastic Riccati Equations, and Applications},
  number={2000/29},
  author={Kohlmann, Michael and Tang, Shanjian}
}
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