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On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary
7 references·6 citing·30 second hop
On the strong solutions of one-dimensional stochastic differential equations with reflecting boundary (1994)On the strong solutions of one-dimensiona…On quasi-linear stochastic partial differential equations (1993)On quasi-linear stochastic pa…Stochastic differential equations with reflecting boundary conditions (1984)Stochastic differential equat…Stochastic Differential Equations and Diffusion Processes (1983)Stochastic Differential Equat…ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS (1981)ON STRONG SOLUTIONS AND EXPLI…On the uniqueness of solutions of stochastic differential equations (1971)On the uniqueness of solution…On the Convergence of Ordinary Integrals to Stochastic Integrals (1965)On the Convergence of Ordinar…On a stochastic integral equation (1946)On a stochastic integral equa…Beyond Heavy-Traffic Regimes: Universal Bounds and Controls for the Single-Server Queue (2016)Beyond Heavy-Traffic Regimes:…Strong Convergence of Wong-Zakai Approximations of Reflected SDEs in a Multidimensional General Domain (2014)Strong Convergence of Wong-Za…Weak and strong approximations of reflected diffusions via penalization methods (2012)Weak and strong approximation…One-Dimensional Stochastic Differential Equations with Singular and Degenerate Coefficients (2005)One-Dimensional Stochastic Di…Perturbed Skorohod equations and perturbed reflected diffusion processes (2004)Perturbed Skorohod equations …A critically loaded multirate link with trunk reservation (1998)A critically loaded multirate…Continuous Martingales and Brownian Motion (1999)Brownian Motion and Stochastic Calculus (2007)Pathwise uniqueness for a degenerate stochastic differential equation (2007)On symmetric and skew Bessel processes (2012)One-dimensional stochastic differential equations with generalized and singular drift (2013)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Optimal Investment and Consumption with Transaction Costs (1994)Stochastic Differential Equations (2014)A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT (1974)Implicit scheme for quasi-linear parabolic partial differential equations perturbed by space-time white noise (1995)Implicit Scheme for Stochastic Parabolic Partial Diferential Equations Driven by Space-Time White Noise (1997)Stochastic evolution equations in (1999)An introduction to stochastic partial differential equations (2006)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Applied Probability and Queues (2003)A stochastic calculus model of continuous trading: Complete markets (1983)Weak Limit Theorems for Stochastic Integrals and Stochastic Differential Equations (1991)Approaching complexity by stochastic methods: From biological systems to turbulence (2011)A Wong-Zakai theorem for stochastic PDEs (2015)Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation (1992)Backward Stochastic Differential Equations in Finance (1997)Controlled Markov Processes and Viscosity Solutions (2005)Gaussian Estimation of Structural Parameters in Higher Order Continuous Time Dynamic Models (1983)CONTINUOUS TIME STOCHASTIC MODELS AND ISSUES OF AGGREGATION OVER TIME (1984)Itô’s stochastic calculus: Its surprising power for applications (2010)Risk-Sensitive Control on an Infinite Time Horizon (1995)A variational representation for certain functionals of Brownian motion (1998)Ergodic Control of Diffusion Processes (2011)
this work references cited by second hop

References

  • 1983Stochastic Differential Equations and Diffusion Processes3,836 cited
  • 1971On the uniqueness of solutions of stochastic differential equations848 cited
  • 1984Stochastic differential equations with reflecting boundary conditions817 cited
  • 1965On the Convergence of Ordinary Integrals to Stochastic Integrals684 cited
  • 1981ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS394 cited
  • 1946On a stochastic integral equation152 cited
  • 1993On quasi-linear stochastic partial differential equations75 cited

Cited by

  • 2005One-Dimensional Stochastic Differential Equations with Singular and Degenerate Coefficients41 cited
  • 2004Perturbed Skorohod equations and perturbed reflected diffusion processes37 cited
  • 2016Beyond Heavy-Traffic Regimes: Universal Bounds and Controls for the Single-Server Queue25 cited
  • 1998A critically loaded multirate link with trunk reservation23 cited
  • 2012Weak and strong approximations of reflected diffusions via penalization methods22 cited
  • 2014Strong Convergence of Wong-Zakai Approximations of Reflected SDEs in a Multidimensional General Domain22 cited

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