Infinite Time Interval BSDEs Driven by a Lévy Process

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In this paper, we study the infinite time interval backward stochastic differential equations (BSDEs) driven by a Lévy process. A existence and uniqueness theorem for solution of the BSDEs is established, which can be considered a generalization of existence and uniqueness theorem of BSDEs. A continuous dependence theorem for solutions of the BSDEs is also given.

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293-297

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February 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] E. Pardoux, S. Peng: Adapted solution of backward stochastic differential equations. Systems Control Lett. (1990), 14, 51-61.

DOI: 10.1016/0167-6911(90)90082-6

Google Scholar

[2] Z. Chen, B. Wang: Infinite time interval Backword SDEs and the convergence of g-martingales. J. Austral. Math. Soc. (Series A), (2000), 69, 187-211.

Google Scholar

[3] D. Nualart, W. Schoutens: Backward stochastic differential equations and Feynman-Kac formula for Lévy processes, with applications in finance. Bernoulli (2001), 7(5), 761-776.

DOI: 10.2307/3318541

Google Scholar

[4] D. Nualart, W. Schoutens: Chaotic and predictable representations for Lévy processes. Stochastic Process. Appl. (2000), 90 (1), 109-122.

DOI: 10.1016/s0304-4149(00)00035-1

Google Scholar

[5] M. El Otmani: BSDE Driven by a Simple Lévy Process with Continuous Coeffcient. Statistics and Probability Letters. (2008), 78, 1259-1265.

DOI: 10.1016/j.spl.2007.11.021

Google Scholar

[6] M. El Otmani: Reflected BSDE Driven by a Lévy Process. J. Theor Probab (2009) 22: 601–619.

DOI: 10.1007/s10959-009-0229-3

Google Scholar