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This article is cited in 58 scientific papers (total in 58 papers)
Short Communications
Backward stochastic differential equations driven by càdlàg martingales
R. Carbonea, B. Ferrarioa, M. Santacroceb a Dipartimento di Matematica dell'Università di Pavia
b Polytechnic University of Turin
Abstract:
Backward stochastic differential equations (BSDEs) arise in many financial problems. Although there exists a growing number of papers considering general financial markets, the theory of BSDEs has been developed just in the Brownian setting. We consider BSDEs driven by an $\mathbf{R}^d$-valued càdlàg martingale and we study the properties of the solutions in the case of a, possibly nonuniform, Lipschitz generator.
Keywords:
backward semimartingales equations, regularity and stability of solutions, Lipschitz generators, stochastic calculus.
Received: 03.07.2005 Revised: 05.06.2006
Citation:
R. Carbone, B. Ferrario, M. Santacroce, “Backward stochastic differential equations driven by càdlàg martingales”, Teor. Veroyatnost. i Primenen., 52:2 (2007), 375–385; Theory Probab. Appl., 52:2 (2008), 304–314
Linking options:
https://www.mathnet.ru/eng/tvp181https://doi.org/10.4213/tvp181 https://www.mathnet.ru/eng/tvp/v52/i2/p375
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