stochastic differential equations (SDE)
Stochastic differential equations and integrating factor
... a stochastic term to the de- terministic differential ...called stochastic differential equations (SDEs), and the term stochastic called noise ...a SDE is a ...
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Path Integral Methods for Stochastic Differential Equations
... neuroscience, stochastic differential equations (SDE) have been uti- lized to model stochastic phenomena that range in scale from molecular transport in neurons, to neuronal firing, to ...
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A Mean Field Stochastic Maximum Principle for Optimal Control of Forward Backward Stochastic Differential Equations with Jumps via Malliavin Calculus
... the stochastic processes and also because our control must be partial information adapted, this problem is not of Markovian type and hence cannot be solved by dynamic programming even if the mean term were not ...
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Boundary value problems for stochastic differential equations
... BOUNDARY VALUE PROBLEHS FOR STOCHASTIC DIFFERENTIAL EQUATIONS Thesis by Thomas 1 Tilliam HacDm rell In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy California Institu[.] ...
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Stochastic Differential Equations: Models and Numerics - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... Deterministic differential equations cannot model such transitions between equilibrium states, since a deterministic solution never escapes from a stable ...how stochastic differential ...
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Multidimensional stochastic differential equations with distributional drift
... of stochastic differential equations with generalized coefficients, it is difficult to quote them all: in particular, we refer to the case when b is a measure, [4, 7, 18, ...solving stochastic ...
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Discontinuous Quantum Stochastic Differential Equations and The Associated Kurzweil Equations
... Quantum stochastic differential equations (QSDEs) of systems that exhibit discontinuity are introduced with the Kurzweil equations associated with this class of ...Kurzweil equations ...
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Stability of stochastic differential equations in infinite dimensions
... to stochastic differential equations with Markovian ...of stochastic differential equations has always lain at the center of our understanding concerning stochastic models ...
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Backward stochastic differential equations with Young drift
... Stochastic differential equations (SDEs) driven by Brownian motion W and an addi- tional deterministic path η of low regularity (so called “mixed SDEs”) have been ...
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On the Effects of Different Interpretations of Stochastic Differential Equations
... considered stochastic processes so that the equation be- comes a stochastic differential equation ...name SDE is used to denote an equation which is acted by white noise stochastic ...
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Improved bridge constructs for stochastic differential equations
... Designing bridge constructs for irreducible, multivariate diffusions is a challenging problem and has received much attention in recent literature. The simplest approach (see e.g. Pedersen 1995) is based on the forward ...
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On stochastic differential equations and a generalised Burgers equation
... More recently, in [21, 22, 23] we examine mathematically the link of SDEs of mean-reversion type arising from modeling collateralized debt obligations (CDOs) and credit risk to Burgers equation in the spirit of [8, 9] ...
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Stochastic control representations for penalized backward stochastic differential equations
... backward stochastic differential equation (penalized BSDE for short) to solve reflected backward stochastic differential equation (reflected BSDE for short), and they showed that the solution ...
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Stochastic differential equations in a scale of Hilbert spaces
... non-equilibrium stochastic dynamics of infinite particle sys- tems of the aforementioned type has been a long-standing problem, even in the case of linear drift and a single-particle diffusion ...
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Online Nonparametric Estimation of Stochastic Differential Equations
... Stochastic di ff erential equations (SDEs) are an essential tool to describe the randomness of a dynamic system. For example, physicists use this tool to model the time evolution of particles due to thermal ...
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Modeling and prediction of time-series of monthly copper prices
... and stochastic differential equations, for the time-series of monthly copper ...the Stochastic Differential Equations (SDE) method for 33 out of range cases gives better ...
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Lack of strong completeness for stochastic flows
... complete SDE need not have a continuous modification of the solution as a function of time and the initial ...of stochastic flows from that of deterministic ordinary differential ...complete ...
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Uncertainty propagation and quantification in a continuous time dynamical system
... of differential equations. One is stochastic differential equations (SDEs), a classification reserved for differential equa- tions driven by white noise (The value of a white ...
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Asymptotic behaviours of stochastic differential delay equations
... his stochastic calculus more than 50 years ago, the theory of stochastic differential equations has been developed very ...with stochastic stability by many authors, and we here only ...
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Comparison theorem of one-dimensional stochastic hybrid delay systems
... of stochastic differential equations with Markovian switching (SDEwMSs) with stochastic coefficients f, g while the classical f , g are ...the equations in Section ...
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