Аннотация:
Обратные стохастические дифференциальные уравнения (ОСДУ) возникают во многих финансовых задачах. Хотя число статей, рассматривающих общие финансовые рынки, все возрастает, теория ОСДУ получила развитие только для броуновской постановки. Мы рассматриваем ОСДУ, управляемые Rd-значным càdlàg мартингалом, и изучаем свойства решений в случае генератора, удовлетворяющего (возможно, неравномерному) условию Липшица.
Образец цитирования:
R. Carbone, B. Ferrario, M. Santacroce, “Backward stochastic differential equations driven by càdlàg martingales”, Теория вероятн. и ее примен., 52:2 (2007), 375–385; Theory Probab. Appl., 52:2 (2008), 304–314
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/tvp181
https://doi.org/10.4213/tvp181
https://www.mathnet.ru/rus/tvp/v52/i2/p375
Эта публикация цитируется в следующих 58 статьяx:
Badr Elmansouri, Mohamed El Otmani, “Generalized BSDEs driven by RCLL martingales with stochastic monotone coefficients”, Modern Stochastics: Theory and Applications, 2024, 109
Winfrida Felix Mwigilwa, Farai Julius Mhlanga, Bilal Bilalov, “BSDE with Jumps When Mean Reflection Is Nonlinear”, International Journal of Mathematics and Mathematical Sciences, 2024:1 (2024)
Badr Elmansouri, Mohamed El Otmani, “Doubly reflected BSDEs driven by RCLL martingales under stochastic Lipschitz coefficient”, Stoch. Dyn., 24:01 (2024)
Hongwei Mei, Qingmeng Wei, Jiongmin Yong, “Linear-quadratic optimal control problem for mean-field stochastic differential equations with a type of random coefficients”, NACO, 2024
Dylan Possamaï, Marco Rodrigues, “Reflections on BSDEs”, Electron. J. Probab., 29:none (2024)
Zihao Gu, Yiqing Lin, Kun Xu, “Mean Reflected BSDE Driven by a Marked Point Process and Application in Insurance Risk Management”, ESAIM: COCV, 30 (2024), 51
Paul Jusselin, Thibaut Mastrolia, “Scaling Limit for Stochastic Control Problems in Population Dynamics”, Appl Math Optim, 88:1 (2023)
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