참고문헌
- A. Aman and M. N'Zi, Backward stochastic nonlinear Volterra integral equations with local Lipschitz drift, Probab. Math. Statist. 25 (2005), no. 1, Acta Univ. Wratislav. No. 2784, 105-127.
- V. Anh and J. Yong, Backward stochastic Volterra integral equations in Hilbert space, Differential and Difference Equations and Applications, pp. 57-66, Hindawi, New York, 2006.
- I. Bihari, A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar. 7 (1956), 81-94. https://doi.org/10.1007/BF02022967
- A. Constantin, A backward stochastic differential equation with non-Lipschitz coefficients, C. R. Math. Rep. Acad. Sci. Canada 17 (1995), no. 6, 280-282.
- N. El Karoui and S. Huang, A general result of existence and uniqueness of backward stochastic differential equation, Backward stochastic differential equations (Paris, 1995996), 27-6, Pitman Res. Notes Math. Ser., 364, Longman, Harlow, 1997.
- N. El Karoui, S. Peng, and M. Quenez, Backward stochastic differential equations in finance, Math. Finance. 7 (1997), no. 1, 1-71. https://doi.org/10.1111/1467-9965.00022
- J. Lin, Adapted solution of a backward stochastic nonlinear Volterra integral equation, Stoch. Anal. Appl. 20 (2002), no. 1, 165-183. https://doi.org/10.1081/SAP-120002426
- J. Ma and J. Yong, Forward-Backward Stochastic Differential Equations and Their Applications, Lecture Notes in Math. Vol. 1702, Springer-Verlag, Berlin, 1999.
- X. Mao, Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients, Stochastic Process. Appl. 58 (1995), no. 2, 281-292. https://doi.org/10.1016/0304-4149(95)00024-2
- X. Mao, Stochastic Differential Equations and Their Applications, Horwood Series in Mathematics and Applications, Horwood Publishing Limited, Chichester, 1997.
- E. Pardoux and S. Peng, Adapted solution of a backward stochastic differential equation, Systems Control Lett. 14 (1990), no. 1, 55-61. https://doi.org/10.1016/0167-6911(90)90082-6
- D. Revuz and M. Yor, Continuous Martingale and Brownian Motion, Springer-Verlag, 2004.
- Y. Ren, On solutions of Backward stochastic Volterra integral equations with jumps in hilbert spaces, J. Optim. Theory Appl. 144 (2010), no. 2, 319-333. https://doi.org/10.1007/s10957-009-9596-2
- T. Wang and Y. Shi, Symmetrical solutions of backward stochastic Volterra integral equations and their applications, Discrete Contin. Dyn. Syst. B. 14 (2010), no. 1, 251- 274. https://doi.org/10.3934/dcdsb.2010.14.251
- Z. Wang and X. Zhang, Non-Lipschitz backward stochastic volterra type equations with jumps, Stoch. Dyn. 7 (2007), no. 4, 479-496. https://doi.org/10.1142/S0219493707002128
- Z. Wang and X. Zhang, A class of backward stochastic Volterra integral equations with jumps and applications, preprint.
- J. Yong, Backward stochastic Volterra integral equations and some related problems, Stochastic Process. Appl. 116 (2006), no. 5, 779-795. https://doi.org/10.1016/j.spa.2006.01.005
- J. Yong, Continuous-time dynamic risk measures by backward stochastic Volterra integral equations, Appl. Anal. 86 (2007), no. 11, 1429-1442. https://doi.org/10.1080/00036810701697328
- J. Yong, Well-posedness and regularity of backward stochastic Volterra integral equation, Probab. Theory Related Fields 142 (2008), no. 1-2, 21-77. https://doi.org/10.1007/s00440-007-0098-6
- J. Yong and Y. Zhou, Stochastic Control, Hamiltonian systems and HJB equations.Applications of Mathematics (New York), 43. Springer-Verlag, New York, 1999.
피인용 문헌
- Backward stochastic Volterra integral equations — a brief survey vol.28, pp.4, 2013, https://doi.org/10.1007/s11766-013-3189-4
- Backward stochastic Volterra integral equations with additive perturbations vol.265, 2015, https://doi.org/10.1016/j.amc.2015.05.077
- Optimal control problems of forward-backward stochastic Volterra integral equations vol.5, pp.3, 2015, https://doi.org/10.3934/mcrf.2015.5.613
- Mean-field backward stochastic Volterra integral equations vol.18, pp.7, 2013, https://doi.org/10.3934/dcdsb.2013.18.1929
- An Optimal Control Problem of Forward-Backward Stochastic Volterra Integral Equations with State Constraints vol.2014, 2014, https://doi.org/10.1155/2014/432718
- Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations with Closed Control Regions vol.55, pp.4, 2017, https://doi.org/10.1137/16M1059801
- Backward stochastic Volterra integral equations on Markov chains vol.90, pp.4, 2018, https://doi.org/10.1080/17442508.2017.1381096