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Stochastic Differential Equations
14 references·16 citing·23 second hop
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  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 1999Continuous Martingales and Brownian Motion6,200 cited
  • 1983Stochastic Differential Equations and Diffusion Processes3,836 cited
  • 2003Stochastic Differential Equations2,978 cited
  • 2005Controlled Markov Processes and Viscosity Solutions2,698 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 2003Stochastic Differential Equations2,090 cited
  • 1976Stochastic Differential Equations and Applications1,378 cited
  • 2009Continuous-time Stochastic Control and Optimization with Financial Applications1,041 cited
  • 1984Stochastic differential equations with reflecting boundary conditions817 cited
  • 2005Backward stochastic differential equations and quasilinear parabolic partial differential equations782 cited
  • 1997Reflected solutions of backward SDE's, and related obstacle problems for PDE's704 cited
  • 2007Forward-Backward Stochastic Differential Equations and their Applications675 cited

Cited by

  • 1988Maximum Likelihood Estimation of Generalized Itô Processes with Discretely Sampled Data

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355 cited
  • 2013Functional Itô calculus and stochastic integral representation of martingales252 cited
  • 2011Advances of the probability density evolution method for nonlinear stochastic systems247 cited
  • 1984Cumulant-neglect closure for non-linear oscillators under random parametric and external excitations234 cited
  • 2004Dynamic response and reliability analysis of non-linear stochastic structures216 cited
  • 1992Stochastic Differential Equations184 cited
  • 2010Itô’s stochastic calculus: Its surprising power for applications141 cited
  • 2000When is time continuous?130 cited
  • 2008A note on the principle of preservation of probability and probability density evolution equation126 cited
  • 2007Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black–Scholes equations115 cited
  • 2010Continuous Time Modeling of Panel Data by means of SEM102 cited
  • 2019Optimal capital structure and bankruptcy choice: Dynamic bargaining versus liquidation93 cited
  • 2016A real options approach to analyse wind energy investments under different support schemes87 cited
  • 19704 Stochastic Differential Equations71 cited
  • 2017A strong order $1/2$ method for multidimensional SDEs with discontinuous drift67 cited
  • 1999On the diversity of equity markets65 cited