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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board Member: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

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1572-9176
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Volume 19, Issue 1 (Jan 2012)

Issues

Backward stochastic differential equations with a convex generator

Besik Chikvinidze
Published Online: 2012-02-29 | DOI: https://doi.org/10.1515/gmj-2012-0003

Abstract.

Backward stochastic differential equations (BSDEs) with convex generators of quadratic growth are considered. The existence of a solution is proved for such equations driven by a continuous martingale with unbounded characteristic. A suitable optimization problem is formulated and it is shown that the corresponding value process satisfies BSDEs.

Keywords.: Backward stochastic differential equation; value process; semimartingale

About the article

Received: 2010-08-30

Published Online: 2012-02-29

Published in Print: 2012-03-01


Citation Information: Georgian Mathematical Journal, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2012-0003.

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© 2012 by Walter de Gruyter Berlin Boston. Copyright Clearance Center

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[1]
B. Chikvinidze and M. Mania
Journal of Theoretical Probability, 2014, Volume 27, Number 4, Page 1213

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