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Uncertain differential equation is a type of differential equation driven by canonical Liu process.
These processes are then used to formulate the damped oscillator equation driven by Lévy noise.
Consider a multidimensional stochastic differential equation driven by a stable-like Lévy process.
As an example, we consider a stochastic advection-diffusion equation driven by space-time white noise in Rd.
We study this discrepancy on the specific example of the two dimensional Allen Cahn equation driven by additive white noise.
Uncertain differential equation is a type of differential equation driven by Liu process and has been widely applied to many fields especially to uncertain finance.
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We illustrate this approach by studying stochastic differential equations driven by the Wiener process.
We also establish exponential moment estimates for solutions of stochastic evolution equations driven by Lévy noise.
In this paper we study rough differential equations driven by Gaussian rough paths from the viewpoint of Malliavin calculus.
But China and India rising see the world more in terms of classic balance-of-power equations, driven by the might and self-interest of nations, than through the post-sovereign European prism of international institution-building and soft power.
A relevant existence and uniqueness result for the solution of stochastic differential equations driven by Lévy noise is presented and an explicit form of the solution is found.
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CEO of Professional Science Editing for Scientists @ prosciediting.com