Maximum principle for a stochastic delayed system involving terminal state constraints [PDF]
We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set.
Jiaqiang Wen, Yufeng Shi
doaj +5 more sources
We introduce a doubly stochastic method for performing material failure theory based forecasts of volcanic eruptions. The method enhances the well known Failure Forecast Method equation, introducing a new formulation similar to the Hull-White model in ...
Andrea Bevilacqua +8 more
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Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs [PDF]
In this paper we prove an approximation result for the viscosity solution of a system of semi-linear partial differential equations with continuous coefficients and nonlinear Neumann boundary condition. The approximation we use is based on a penalization
Bahlali, Khaled +2 more
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Adiabatic elimination in quantum stochastic models [PDF]
We consider a physical system with a coupling to bosonic reservoirs via a quantum stochastic differential equation. We study the limit of this model as the coupling strength tends to infinity.
A.C. Doherty +23 more
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Maple for Stochastic Differential Equations [PDF]
This paper introduces the MAPLE software package stochastic consisting of MAPLE routines for stochastic calculus and stochastic differential equations and for constructing basic numerical methods for specific stochastic differential equations, with simple examples illustrating the use of the routines.
Grüne, Lars +2 more
openaire +2 more sources
Probabilistic Representations of Solutions of the Forward Equations [PDF]
In this paper we prove a stochastic representation for solutions of the evolution equation $ \partial_t \psi_t = {1/2}L^*\psi_t $ where $ L^* $ is the formal adjoint of an elliptic second order differential operator with smooth coefficients corresponding
Rajeev, B., Thangavelu, S.
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Large deviations for stochastic Kuramoto–Sivashinsky equation with multiplicative noise
The Kuramoto–Sivashinsky equation is a nonlinear parabolic partial differential equation, which describes the instability and turbulence of waves in chemical reactions and laminar flames. The aim of this work is to prove the large deviation principle for
Gregory Amali Paul Rose +2 more
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Stochastic model of innovation diffusion that takes into account the changes in the total market volume [PDF]
The article proposes a stochastic mathematical model of the diffusion of consumer innovations, which takes into account changes over time in the total number of potential buyers of an innovative product.
Parphenova, Alena Yu., Saraev, Leonid A.
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L2-convergence of Yosida approximation for semi-linear backward stochastic differential equation with jumps in infinite dimension [PDF]
Purpose – The main motivation of this paper is to present the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable assumption and condition, an L2-convergence rate is established.
Hani Abidi +3 more
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A kind of non-zero sum mixed differential game of backward stochastic differential equation
This paper is concerned with a non-zero sum mixed differential game problem described by a backward stochastic differential equation. Here the term “mixed” means that this game problem contains a deterministic control v1 $v_{1}$ of Player 1 and a random ...
Huanjun Zhang
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