[1] Mohammed S-E A. Stochastic differential equations with memory:theory, examples and applications//Progress in probability, stochasic analysis and related topics 6. Birkhäser:The geido workshop, 1998 [2] Arriojas M, Hu Y, Mohammed S-E A, Pap G. A delayed Black and Scholes formula. Stoch Anal Appl, 2007, 25(2):471-492 [3] Øksendal B, Sulem A. A maximum principle for optimal control of stochastic systems with delay, with applications to finance//Menaldi J M, Rofman E, Sulem A. Optimal Control and Partial Differential Equations. 64-79. Amsterdam, The Netherlands:ISO Press, 2000 [4] Larssen B. Dynamic programming in stochastic control of systems with delay. Stoch Stoch Rep, 2002, 74:651-673 [5] Peng S G, Yang Z. Anticipated backward stochastic differential equations. Ann Probab, 2009, 37(3):877-902 [6] Chen L, Wu Z. Maximum principle for the stochastic optimal control problem with delay and application. Automatica, 2010, 46:1074-1080 [7] Yu Z Y. The stochastic maximum principle for optimal control problems of delay systems involving continuous and impulse controls. Automatica, 2012, 56(6):1401-1406 [8] Chen L, Yu Z Y. Maximum principle for nonzero-sum stochastic differential game with delays. IEEE T Automat Contr, 2015, 60(5):1422-1426 [9] Gozzi F, Marinelli C. Stochastic optimal control of delay equations arising in advertising models//Stochastic Partial Differential Equations & Applications-VⅡ. Papers of the 7th meeting, Levico, Terme,Italy, January 5-10, 2004. Boca Raton, FL:Chapman and Hall/CRC. Lecture Notes in Pure and Applied Mathematics, 2006, 245:133-148 [10] Nerlove M, Arrow J K. Optimal advertising policy under dynamic conditions. Economica, 1962, 29:129-142 [11] Agram N, Haadem S, Øksendal B, Proske F. A maximum principle for infinite horizon delay equations. SIAM J Math Anal, 2013, 45:2499-522 [12] Shen Y, Meng Q X, Shi P. Maximum principle for mean-field jump-diffusion stochastic delay differential equations and its application to finance. Automatica, 2014, 50(6):1565-1579 [13] Øksendal B, Sulem A, Zhang T. Optimal control of stochastic delay equations and time-advanced backward stochastic differential equations. Adv Appl Probab, 2011, 43(2):572-596 [14] Meng Q X, Shen Y. Optimal control of mean-field jump-diffusion systems with delay:A stochastic maximum principle approach. J Comput Appl Math, 2015, 279:13-30 [15] Yang Z, Elliott R J. Some properties of generalized anticipated backward stochastic differential equations. Electro Commun Prob, 2013, 18(63):1-10 [16] Agram N, Øksendal B. Mean-field stochastic control with elephant memory in finite and infinite time horizon. Stochastics, 2019, 91(7):1041-1066 [17] Xu X M. Fully coupled forward-backward stochastic functional differential equations and applications to quadratic optimal control. 2013, arXiv:1310.6846 [18] Garzon J, Tindel S, Torres S. Euler scheme for fractional delay stochastic differential equations by rough paths techniques. Acta Mathematica Scientia, 2019, 39B(3):747-763 [19] Zhang W S, Chen Y P, Numerical analysis for Volterra integral equation with two kinds of delay. Acta Mathematica Scientia, 2019, 39B(2):602-617 |