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As an application, the asymptotic behavior of the stochastic oscillatory integral will be discussed.
The different flaw tolerance is explained by the stress distribution within the various structures, which leads to an overall "strain-hardening" behavior of the stochastic structure compared to a "strain-softening" behavior in the periodic structure.
Governing equations for the unknown coefficients in the resulting representations are derived using a Galerkin procedure and then integrated in order to determine the behavior of the stochastic process.
There are few results on the dynamical behavior of the stochastic Swift-Hohenberg equation.
Moreover, we study the asymptotic behavior of the stochastic regime switching SIS model with vaccination driven by Lévy noise.
In Sections 4 and 5, we investigate the asymptotic behavior of the stochastic regime switching SIS model with vaccination driven by a Lévy noise.
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Numerical experiments are performed to verify the numerical behaviors of the stochastic multi-symplectic scheme.
Until now, there are few results on the dynamics behaviors of the stochastic local modified Swift-Hohenberg equation with multiplicative noise in Stratonovich sense.
To better understand the long time behavior of the deterministic and stochastic systems, we show the phase space portraits for the deterministic and MSIRS stochastic endemic model in Figures 6 and 7, respectively.
I am interested in how the underlying graph structure affects the behavior of certain stochastic processes on the graph.
In a related field, the asymptotic behavior of the solutions to stochastic difference equation was discussed in many papers, and there have been also very fruitful achievements.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com