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Backward stochastic differential equations with continuous coefficient

Citations

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Cited by:

  1. Wu, Hao & Wang, Wenyuan & Ren, Jie, 2012. "Anticipated backward stochastic differential equations with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 672-682.
  2. Fujii, Masaaki & Takahashi, Akihiko, 2018. "Quadratic–exponential growth BSDEs with jumps and their Malliavin’s differentiability," Stochastic Processes and their Applications, Elsevier, vol. 128(6), pages 2083-2130.
  3. Kohlmann, Michael & Tang, Shanjian, 2000. "Recent Advances in Backward Stochastics Riccati Equations and Their Applications," CoFE Discussion Papers 00/30, University of Konstanz, Center of Finance and Econometrics (CoFE).
  4. Essaky, E.H. & Hassani, M. & Ouknine, Y., 2015. "Stochastic quadratic BSDE with two RCLL obstacles," Stochastic Processes and their Applications, Elsevier, vol. 125(6), pages 2147-2189.
  5. Kohlmann, Michael & Tang, Shanjian, 2002. "Global adapted solution of one-dimensional backward stochastic Riccati equations, with application to the mean-variance hedging," Stochastic Processes and their Applications, Elsevier, vol. 97(2), pages 255-288, February.
  6. Monique Jeanblanc & Thibaut Mastrolia & Dylan Possamaï & Anthony Réveillac, 2015. "Utility Maximization With Random Horizon: A Bsde Approach," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(07), pages 1-43, November.
  7. Bingjun Wang & Hongjun Gao & Mingxia Yuan & Qingkun Xiao, 2024. "Reflected Backward Stochastic Differential Equations Driven by G-Brownian Motion Under Monotonicity Condition," Journal of Theoretical Probability, Springer, vol. 37(2), pages 1902-1926, June.
  8. Yu, Xianye & Zhang, Mingbo, 2020. "Backward stochastic differential equations driven by fractional noise with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 159(C).
  9. Cui, Fengfeng & Zhao, Weidong, 2023. "Well-posedness of mean reflected BSDEs with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 193(C).
  10. Liu, Jicheng & Ren, Jiagang, 2002. "Comparison theorem for solutions of backward stochastic differential equations with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 56(1), pages 93-100, January.
  11. Fan, ShengJun, 2016. "Existence of solutions to one-dimensional BSDEs with semi-linear growth and general growth generators," Statistics & Probability Letters, Elsevier, vol. 109(C), pages 7-15.
  12. Tian, Dejian & Jiang, Long & Davison, Matt, 2010. "On the existence of solutions to BSDEs with generalized uniformly continuous generators," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 903-909, May.
  13. Schroder, Mark & Skiadas, Costis, 2003. "Optimal lifetime consumption-portfolio strategies under trading constraints and generalized recursive preferences," Stochastic Processes and their Applications, Elsevier, vol. 108(2), pages 155-202, December.
  14. Shiqiu Zheng & Shoumei Li, 2018. "On the Representation for Dynamically Consistent Nonlinear Evaluations: Uniformly Continuous Case," Journal of Theoretical Probability, Springer, vol. 31(1), pages 119-158, March.
  15. Fan, ShengJun & Jiang, Long, 2010. "Finite and infinite time interval BSDEs with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 962-968, June.
  16. Rozkosz, Andrzej, 2004. "On existence of solutions of BSDEs with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 67(3), pages 249-256, April.
  17. Wang, Jinghan & Shi, Yufeng & Zhao, Nana, 2025. "A general type of weak comparison theorems for BDSDEs," Statistics & Probability Letters, Elsevier, vol. 219(C).
  18. Fan, ShengJun & Jiang, Long & Tian, DeJian, 2011. "One-dimensional BSDEs with finite and infinite time horizons," Stochastic Processes and their Applications, Elsevier, vol. 121(3), pages 427-440, March.
  19. Sheng Jun Fan, 2018. "Existence, Uniqueness and Stability of $$L^1$$ L 1 Solutions for Multidimensional Backward Stochastic Differential Equations with Generators of One-Sided Osgood Type," Journal of Theoretical Probability, Springer, vol. 31(3), pages 1860-1899, September.
  20. Cao, Guilan & He, Kai, 2007. "Successive approximation of infinite dimensional semilinear backward stochastic evolution equations with jumps," Stochastic Processes and their Applications, Elsevier, vol. 117(9), pages 1251-1264, September.
  21. Wenbo Wang & Guangyan Jia, 2025. "Quadratic BSDEs with Singular Generators and Unbounded Terminal Conditions: Theory and Applications," Mathematics, MDPI, vol. 13(14), pages 1-27, July.
  22. Ibrahima San´e & Cl´ement Manga & Sadibou Aidara, 2024. "Averaging Principle for BSDEs and one Barrier Reflected BSDEs With Non-Liphschitz Coefficients," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 16(2), pages 1-62, December.
  23. Xiao, Lishun & Fan, Shengjun, 2017. "A representation theorem for generators of BSDEs with general growth generators in y and its applications," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 297-305.
  24. He, Kun & Hu, Mingshang & Chen, Zengjing, 2009. "The relationship between risk measures and choquet expectations in the framework of g-expectations," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 508-512, February.
  25. Zhu, Runyu & Tian, Dejian, 2019. "Existence and uniqueness of solutions for BDSDEs with weak monotonicity coefficients," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 48-55.
  26. Qun Shi, 2021. "Generalized Mean-Field Fractional BSDEs With Non-Lipschitz Coefficients," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-77, June.
  27. Lin, Qian, 2009. "A class of backward doubly stochastic differential equations with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2223-2229, October.
  28. Mitsui, Ken-ichi & Tabata, Yoshio, 2008. "A stochastic linear-quadratic problem with Lévy processes and its application to finance," Stochastic Processes and their Applications, Elsevier, vol. 118(1), pages 120-152, January.
  29. Fan, ShengJun & Jiang, Long, 2012. "One-dimensional BSDEs with left-continuous, lower semi-continuous and linear-growth generators," Statistics & Probability Letters, Elsevier, vol. 82(10), pages 1792-1798.
  30. Zhang, Wei & Jiang, Long, 2021. "Solutions of BSDEs with a kind of non-Lipschitz coefficients driven by G-Brownian motion," Statistics & Probability Letters, Elsevier, vol. 171(C).
  31. Zhang, HengMin & Fan, ShengJun, 2013. "A representation theorem for generators of BSDEs with finite or infinite time intervals and linear-growth generators," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 724-734.
  32. Fan, Shengjun & Hu, Ying, 2021. "Well-posedness of scalar BSDEs with sub-quadratic generators and related PDEs," Stochastic Processes and their Applications, Elsevier, vol. 131(C), pages 21-50.
  33. Luis Escauriaza & Daniel C. Schwarz & Hao Xing, 2020. "Radner equilibrium and systems of quadratic BSDEs with discontinuous generators," Papers 2008.03500, arXiv.org, revised May 2021.
  34. Bayraktar, Erhan & Yao, Song, 2012. "Quadratic reflected BSDEs with unbounded obstacles," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1155-1203.
  35. Jia, Guangyan, 2008. "A class of backward stochastic differential equations with discontinuous coefficients," Statistics & Probability Letters, Elsevier, vol. 78(3), pages 231-237, February.
  36. Zhou, Guangshuo & Du, Fengjiao & Fan, Shengjun, 2024. "Invariant representation for generators of general time interval quadratic BSDEs under stochastic growth conditions," Statistics & Probability Letters, Elsevier, vol. 205(C).
  37. Rafael Serrano, 2014. "Ecuaciones Diferenciales Estocásticas con Condición Final y Soluciones de Viscosidad de EDPS Semilineales de Segundo Orden," Documentos de Trabajo 12231, Universidad del Rosario.
  38. Wang, Ying & Huang, Zhen, 2009. "Backward stochastic differential equations with non-Lipschitz coefficients," Statistics & Probability Letters, Elsevier, vol. 79(12), pages 1438-1443, June.
  39. Zhang, Qi & Zhao, Huaizhong, 2013. "SPDEs with polynomial growth coefficients and the Malliavin calculus method," Stochastic Processes and their Applications, Elsevier, vol. 123(6), pages 2228-2271.
  40. Hamadène, Said & Mu, Rui, 2020. "Discontinuous Nash equilibrium points for nonzero-sum stochastic differential games," Stochastic Processes and their Applications, Elsevier, vol. 130(11), pages 6901-6926.
  41. Li, Zhi & Luo, Jiaowan, 2012. "One barrier reflected backward doubly stochastic differential equations with discontinuous monotone coefficients," Statistics & Probability Letters, Elsevier, vol. 82(10), pages 1841-1848.
  42. El Otmani, Mohamed, 2008. "BSDE driven by a simple Lévy process with continuous coefficient," Statistics & Probability Letters, Elsevier, vol. 78(11), pages 1259-1265, August.
  43. Sheng-Jun Fan & Long Jiang, 2012. "A Generalized Comparison Theorem for BSDEs and Its Applications," Journal of Theoretical Probability, Springer, vol. 25(1), pages 50-61, March.
  44. Bouchemella, Nadira & Raynaud de Fitte, Paul, 2014. "Weak solutions of backward stochastic differential equations with continuous generator," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 927-960.
  45. Cody B. Hyndman & Polynice Oyono Ngou, 2017. "A Convolution Method for Numerical Solution of Backward Stochastic Differential Equations," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 1-29, March.
  46. Qin, Yan & Xia, Ning-Mao, 2013. "Variational approach for the adapted solution of the general backward stochastic differential equations under the Bihari condition," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1271-1281.
  47. Jia, Guangyan, 2009. "Some uniqueness results for one-dimensional BSDEs with uniformly continuous coefficients," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 436-441, February.
  48. Fan, Shengjun & Hu, Ying & Tang, Shanjian, 2023. "Existence, uniqueness and comparison theorem on unbounded solutions of scalar super-linear BSDEs," Stochastic Processes and their Applications, Elsevier, vol. 157(C), pages 335-375.
  49. Fan, ShengJun & Liu, DeQun, 2010. "A class of BSDE with integrable parameters," Statistics & Probability Letters, Elsevier, vol. 80(23-24), pages 2024-2031, December.
  50. Fan, ShengJun, 2016. "Bounded solutions, Lp(p>1) solutions and L1 solutions for one dimensional BSDEs under general assumptions," Stochastic Processes and their Applications, Elsevier, vol. 126(5), pages 1511-1552.
  51. Hu, Ying & Wen, Jiaqiang & Xiong, Jie, 2024. "Backward doubly stochastic differential equations and SPDEs with quadratic growth," Stochastic Processes and their Applications, Elsevier, vol. 175(C).
  52. Xu, Liping & Luo, Jiaowan, 2018. "Stochastic differential equations driven by fractional Brownian motion," Statistics & Probability Letters, Elsevier, vol. 142(C), pages 102-108.
  53. Antonelli, Fabio & Hamadène, SaI¨d, 2006. "Existence of the solutions of backward-forward SDE's with continuous monotone coefficients," Statistics & Probability Letters, Elsevier, vol. 76(14), pages 1559-1569, August.
  54. Qi Zhang & Huaizhong Zhao, 2012. "Probabilistic Representation of Weak Solutions of Partial Differential Equations with Polynomial Growth Coefficients," Journal of Theoretical Probability, Springer, vol. 25(2), pages 396-423, June.
  55. Jia, Guangyan, 2010. "Backward stochastic differential equations with a uniformly continuous generator and related g-expectation," Stochastic Processes and their Applications, Elsevier, vol. 120(11), pages 2241-2257, November.
  56. Gu, Zihao & Lin, Yiqing & Xu, Kun, 2026. "Reflected BSDE driven by a marked point process with a convex/concave generator," Stochastic Processes and their Applications, Elsevier, vol. 191(C).
  57. Hu, Ying & Ma, JinJin, 2004. "Nonlinear Feynman-Kac formula and discrete-functional-type BSDEs with continuous coefficients," Stochastic Processes and their Applications, Elsevier, vol. 112(1), pages 23-51, July.
  58. Zheng, Shiqiu & Li, Shoumei, 2015. "Representation theorems for generators of BSDEs with monotonic and convex growth generators," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 197-205.
  59. Kohlmann, Michael & Tang, Shanjian, 2000. "Global Adapted Solution of One-Dimensional Backward Stochastic Riccati Equations, with Application to the Mean-Variance Hedging," CoFE Discussion Papers 00/26, University of Konstanz, Center of Finance and Econometrics (CoFE).
  60. Xiong, Yafang & Xu, Xiaoming, 2020. "Anticipated backward stochastic differential equations with left-Lipschitz coefficient," Statistics & Probability Letters, Elsevier, vol. 163(C).
  61. Antonis Papapantoleon & Dylan Possamai & Alexandros Saplaouras, 2016. "Existence and uniqueness results for BSDEs with jumps: the whole nine yards," Papers 1607.04214, arXiv.org, revised Nov 2018.
  62. Izumi, Yuki, 2013. "The Lp Cauchy sequence for one-dimensional BSDEs with linear growth generators," Statistics & Probability Letters, Elsevier, vol. 83(6), pages 1588-1594.
  63. Possamaï, Dylan, 2013. "Second order backward stochastic differential equations under a monotonicity condition," Stochastic Processes and their Applications, Elsevier, vol. 123(5), pages 1521-1545.
  64. M. Nabil Kazi-Tani & Dylan Possamai & Chao Zhou, 2014. "Quadratic BSDEs with jumps: related non-linear expectations," Papers 1403.2730, arXiv.org.
  65. Xing, Hao & Žitković, Gordan, 2018. "A class of globally solvable Markovian quadratic BSDE systems and applications," LSE Research Online Documents on Economics 73440, London School of Economics and Political Science, LSE Library.
  66. Samuel N. Cohen & Victor Fedyashov, 2015. "Nash equilibria for non zero-sum ergodic stochastic differential games," Papers 1511.02716, arXiv.org, revised Jun 2017.
  67. Centurelli, Raffaella & Musacchio, Stefano & Pasmanter, Ruben A. & Vulpiani, Angelo, 2006. "Resemblances and differences in mechanisms of noise-induced resonance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 261-273.
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