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Stochastic flows of SDEs with non-Lipschitz coefficients and singular time
Statistics & Probability Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Jie +3 more
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Some remarks on stochastic differential equations in the plane with local lipschitz coefficients
Statistics & Probability Letters, 1986The author considers the stochastic differential equation \[ dX_ z=A(X_ z)dW_ z+B(X_ z)dz \] for a vector-valued process \((X_ z;z\in {\mathbb{R}}_+^ 2)\), \((W_ z;z\in {\mathbb{R}}_+^ 2)\) being a Wiener process. She gives bounds for the moments of \(\sup_{z}| X_ z|\) in terms of the initial condition \((\alpha_ z;z\in {\mathbb{R}}_+^ 2)\) and shows ...
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Multi-term Time-Fractional Stochastic Differential Equations with Non-Lipschitz Coefficients
Differential Equations and Dynamical Systems, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vikram Singh, Dwijendra N Pandey
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Optimal Control Problems for Stochastic Reaction-Diffusion Systems with Non-Lipschitz Coefficients
SIAM Journal on Control and Optimization, 2001The authors consider stochastic reaction-diffusion systems with distributed parameter controls in bounded domains of \(R^d\) with \(d\leq 3\). The system contains uniformly elliptic second order differential operator with regular real coefficients and reaction term \(f\) having polynomial growth together with its derivatives.
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Stochastic Differential Equations with Non-Lipschitz Coefficients in Hilbert Spaces
Stochastic Analysis and Applications, 2008In this article, we discuss the successive approximations problem for the solutions of the semilinear stochastic differential equations in Hilbert spaces with cylindrical Wiener processes under some conditions which are weaker than the Lipschitz one.
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Exponential Observer for a Class of One-Sided Lipschitz Stochastic Nonlinear Systems
IEEE Transactions on Automatic Control, 2015Asma Barbata +2 more
exaly
BSDEs with right upper-semicontinuous reflecting obstacle and stochastic Lipschitz coefficient
Random Operators and Stochastic Equations, 2019Mohamed Marzougue, Mohamed El Otmani
exaly
Numerical solutions of stochastic differential delay equations under local Lipschitz condition
Journal of Computational and Applied Mathematics, 2003Xuerong Mao, Sotirios Sabanis
exaly

