Construction of special soliton solutions to the stochastic Riccati equation
A scheme for the analytical stochastization of ordinary differential equations (ODEs) is presented in this article. Using Itô calculus, an ODE is transformed into a stochastic differential equation (SDE) in such a way that the analytical solutions of the
Navickas Zenonas+4 more
doaj +1 more source
Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs
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
core +3 more sources
Identification and estimation of continuous time dynamic systems with exogenous variables using panel data [PDF]
This paper deals with the identification and maximum likelihood estimation of the parameters of a stochastic differential equation from discrete time sampling. Score function and maximum likelihood equations are derived explicitly.
Hamerle, Alfred+2 more
core +1 more source
Modified Equations for Stochastic Differential Equations [PDF]
We describe a backward error analysis for stochastic differential equations with respect to weak convergence. Modified equations are provided for forward and backward Euler approximations to Ito SDEs with additive noise, and extensions to other types of equation and approximation are discussed.
openaire +2 more sources
Portfolio optimization based on jump-diffusion stochastic differential equation
In order to better link the stochastic diffusion stochastic differential equation with securities investment, this paper proposes a securities portfolio optimization method of the stochastic diffusion stochastic differential equation.
Yiling Huang
doaj
We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri+3 more
doaj
Closed-Loop Solvability of Stochastic Linear-Quadratic Optimal Control Problems with Poisson Jumps
The stochastic linear–quadratic optimal control problem with Poisson jumps is addressed in this paper. The coefficients in the state equation and the weighting matrices in the cost functional are all deterministic but are allowed to be indefinite.
Zixuan Li, Jingtao Shi
doaj +1 more source
Stochastic Differential Equations in a Differentiable Manifold [PDF]
The theory of stochastic differential equations in a differentiate manifold has been established by many authors from different view-points, especially by R Lévy [2], F. Perrin [1], A. Kolmogoroff [1] [2] and K. Yosida [1] [2]. It is the purpose of the present paper to discuss it by making use of stochastic integrals.
openaire +3 more sources
Differentiability of backward stochastic differential equations in Hilbert spaces with monotone generators [PDF]
The aim of the present paper is to study the regularity properties of the solution of a backward stochastic differential equation with a monotone generator in infinite dimension.
A. Bensoussan+22 more
core +4 more sources
Unraveling the metastasis‐preventing effect of miR‐200c in vitro and in vivo
Advanced tumors and ineffective cancer treatments can lead to metastases in distant organs. The sole expression of microRNA 200c (miR‐200c) in breast cancer cells is shown to significantly reduce metastasis formation in xenograft mouse models. Various in vitro analyses revealed impeded migratory behavior, upon miR‐200c expression, as one prerequisite ...
Bianca Köhler+12 more
wiley +1 more source