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Linear ForwardBackward Stochastic Differential Equations
10 references·10 citing·33 second hop
Linear ForwardBackward Stochastic Differential Equations (1999)Linear ForwardBackward Stochastic Differe…Brownian Motion and Stochastic Calculus (2007)Brownian Motion and Stochasti…Finding adapted solutions of forward–backward stochastic differential equations: method of continuation (1997)Finding adapted solutions of …Backward Stochastic Differential Equations in Finance (1997)Backward Stochastic Different…Numerical methods for forward-backward stochastic differential equations (1996)Numerical methods for forward…Hedging options for a large investor and forward-backward SDE's (1996)Hedging options for a large i…Solution of forward-backward stochastic differential equations (1995)Solution of forward-backward …Solving forward-backward stochastic differential equations explicitly — a four step scheme (1994)Solving forward-backward stoc…Backward-Forward Stochastic Differential Equations (1993)Backward-Forward Stochastic D…Adapted solution of a backward stochastic differential equation (1990)Adapted solution of a backwar…An Introductory Approach to Duality in Optimal Stochastic Control (1978)An Introductory Approach to D…Path dependent Feynman–Kac formula for forward backward stochastic Volterra integral equations (2022)Path dependent Feynman–Kac fo…Stackelberg stochastic differential game with asymmetric noisy observations (2021)Stackelberg stochastic differ…Social optima in leader-follower mean field linear quadratic control (2020)Social optima in leader-follo…A Stackelberg Game of Backward Stochastic Differential Equations with Applications (2019)A Stackelberg Game of Backwar…Linear–quadratic stochastic two-person nonzero-sum differential games: Open-loop and closed-loop Nash equilibria (2018)Linear–quadratic stochastic t…General linear forward and backward Stochastic difference equations with applications (2018)General linear forward and ba…Uniqueness for Linear-Quadratic Mean Field Games with Common Noise (2016)Uniqueness for Linear-Quadrat…The wellposedness of FBSDEs (2006)The wellposedness of FBSDEsLinear forward-backward stochastic differential equations with random coefficients (2005)Linear forward-backward stoch…Forward–backward stochastic differential equations with nonsmooth coefficients (2000)Forward–backward stochastic d…Controlled Diffusion Processes (1980)Stochastic Integration and Differential Equations (1990)Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control (1999)Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations (2004)A regression-based Monte Carlo method to solve backward stochastic differential equations (2005)Stochastic Differential Utility (1992)Numberical Method for Backward Stochastic Differential Equations (2002)A New Kind of Accurate Numerical Method for Backward Stochastic Differential Equations (2006)Discrete-time approximation of decoupled Forward–Backward SDE with jumps (2007)Numerical solution of stochastic differential equations (2016)Brownian Motion and Stochastic Calculus. (1989)Optimality Variational Principle for Controlled Forward-Backward Stochastic Differential Equations with Mixed Initial-Terminal Conditions (2010)Backward Stochastic Differential Equation, Nonlinear Expectation and Their Applications (2011)On well-posedness of forward–backward SDEs—A unified approach (2015)On the existence and uniqueness of solutions to FBSDEs in a non-degenerate case (2002)Backward stochastic differential equations and quasilinear parabolic partial differential equations (2005)Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case (1969)The Pricing of Options and Corporate Liabilities (1973)Optimal consumption choices for a ‘large’ investor (1998)Reflected solutions of backward SDE's, and related obstacle problems for PDE's (1997)Backward stochastic differential equations and partial differential equations with quadratic growth (2000)Theory of rational option pricing (2005)Partial Differential Equations (2010)Answering the Skeptics: Yes, Standard Volatility Models do Provide Accurate Forecasts (1998)Modeling and Forecasting Realized Volatility (2003)Controlled Markov Processes and Viscosity Solutions (2005)Backward stochastic differential equations and applications to optimal control (1993)Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs (1998)Stochastic Linear Quadratic Regulators with Indefinite Control Weight Costs. II (2000)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)Forward-backward stochastic differential equations and quasilinear parabolic PDEs (1999)Optimal Consumption and Portfolio Selection with Stochastic Differential Utility (1999)Nonlinear Expectations, Nonlinear Evaluations and Risk Measures (2004)
this work references cited by second hop

References

  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 1994Solving forward-backward stochastic differential equations explicitly — a four step scheme740 cited
  • 1978An Introductory Approach to Duality in Optimal Stochastic Control445 cited
  • 1995Solution of forward-backward stochastic differential equations402 cited
  • 1993Backward-Forward Stochastic Differential Equations345 cited
  • 1996Hedging options for a large investor and forward-backward SDE's207 cited
  • 1997Finding adapted solutions of forward–backward stochastic differential equations: method of continuation189 cited
  • 1996Numerical methods for forward-backward stochastic differential equations181 cited

Cited by

  • 2005Linear forward-backward stochastic differential equations with random coefficients58 cited
  • 2018Linear–quadratic stochastic two-person nonzero-sum differential games: Open-loop and closed-loop Nash equilibria50 cited
  • 2006The wellposedness of FBSDEs47 cited
  • 2016Uniqueness for Linear-Quadratic Mean Field Games with Common Noise37 cited

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2019
A Stackelberg Game of Backward Stochastic Differential Equations with Applications
33 cited
  • 2018General linear forward and backward Stochastic difference equations with applications31 cited
  • 2000Forward–backward stochastic differential equations with nonsmooth coefficients26 cited
  • 2022Path dependent Feynman–Kac formula for forward backward stochastic Volterra integral equations24 cited
  • 2021Stackelberg stochastic differential game with asymmetric noisy observations22 cited
  • 2020Social optima in leader-follower mean field linear quadratic control19 cited