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NON-LIPSCHITZ BACKWARD STOCHASTIC VOLTERRA TYPE EQUATIONS WITH JUMPS
13 references·8 citing·31 second hop
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Stochastic Differential Equations in Finance (1997)Backward Stochastic Differential Equations and Viscosity Solutions of Systems of Semilinear Parabolic and Elliptic PDEs of Second Order (1998)Quadratic BSDEs with convex generators and unbounded terminal conditions (2007)Continuous-Time Mean-Variance Portfolio Selection: A Stochastic LQ Framework (2000)Brownian Motion and Stochastic Calculus (2007)Calcul Stochastique et Problèmes de Martingales (1979)Stochastic calculus with anticipating integrands (1988)Mean-field backward stochastic Volterra integral equations (2013)A regularity structure for rough volatility (2019)Forward-backward stochastic differential equations and quasilinear parabolic PDEs (1999)Well-posedness and regularity of backward stochastic Volterra integral equations (2007)A general version of the fundamental theorem of asset pricing (1994)Arbitrage Theory in Continuous Time (1998)Stock Return Characteristics, Skew Laws, and the Differential Pricing of Individual Equity 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References

  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1991Continuous Martingales and Brownian Motion1,957 cited
  • 1997Backward stochastic differential equations and integral-partial differential equations538 cited
  • 1994Necessary Conditions for Optimal Control of Stochastic Systems with Random Jumps526 cited
  • 1997Backward stochastic differential equations with continuous coefficient354 cited
  • 1995Adapted solutions of backward stochastic differential equations with non-Lipschitz coefficients203 cited
  • 1997On solutions of backward stochastic differential equations with jumps and applications170 cited
  • 1985Volterra Equations Driven by Semimartingales107 cited
  • 2002Adapted solution of a backward stochastic nonlinear Volterra integral equation92 cited
  • 1990Stochastic Volterra Equations with Anticipating Coefficients89 cited
  • 2002Existence and Uniqueness of Solutions for BSDEs with Locally Lipschitz Coefficient58 cited
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  • 2003Multidimensional backward stochastic differential equations with uniformly continuous coefficients46 cited

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  • 2017Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations with Closed Control Regions

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43 cited
  • 2009On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces43 cited
  • 2014Comparison theorems for some backward stochastic Volterra integral equations39 cited
  • 2015Optimal control problems of forward-backward stochastic Volterra integral equations39 cited
  • 2019Recursive Utility Processes, Dynamic Risk Measures and Quadratic Backward Stochastic Volterra Integral Equations38 cited
  • 2021Time-inconsistent stochastic optimal control problems and backward stochastic volterra integral equations32 cited
  • 2012SOLVABILITY OF GENERAL BACKWARD STOCHASTIC VOLTERRA INTEGRAL EQUATIONS28 cited
  • 2013On a class of backward stochastic Volterra integral equations28 cited