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Marcus Stochastic Differential Equations: Representation of Probability Density
MathematicsMarcus stochastic delay differential equations are often used to model stochastic dynamical systems with memory in science and engineering. It is challenging to study the existence, uniqueness, and probability density of Marcus stochastic delay ...
Fang Yang, Chen Fang, Xu Sun
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Averaged Systems of Stochastic Differential Equations with Lévy Noise and Fractional Brownian Motion
Fractal and FractionalIn some problems, partial differential equations are reduced to ordinary differential equations. In special cases, when incorporating randomness, equations can be reduced to systems of stochastic differential Equations (SDEs).
Tayeb Blouhi +6 more
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Stochastic dynamics and mechanosensitivity of myosin II minifilaments
New Journal of Physics, 2014 Tissue cells are in a state of permanent mechanical tension that is maintained mainly by myosin II minifilaments, which are bipolar assemblies of tens of myosin II molecular motors contracting actin networks and bundles.
Philipp J Albert +2 more
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Stochastic Entropy Solutions for Stochastic Scalar Balance Laws
Entropy, 2019 We are concerned with the initial value problem for a multidimensional balance law with multiplicative stochastic perturbations of Brownian type.
Jinlong Wei +3 more
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Caratheodory’s approximation for a type of Caputo fractional stochastic differential equations
Advances in Difference Equations, 2020 The Caratheodory approximation for a type of Caputo fractional stochastic differential equations is considered. As is well known, under the Lipschitz and linear growth conditions, the existence and uniqueness of solutions for some type of differential ...
Zhongkai Guo, Junhao Hu, Weifeng Wang
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Advances in Difference Equations, 2004 The general method of Lyapunov functionals construction which was developed during the last decade for stability investigation of stochastic differential equations with aftereffect and stochastic difference equations is considered. It is shown that after
Leonid Shaikhet
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Small RNA pathways in mammalian oocytes
FEBS Open Bio, EarlyView.Three distinct small RNA pathways operate in mammalian oocytes: RNAi interference (RNAi), the microRNA (miRNA) pathway, and the PIWI‐associated RNA (piRNA) pathway. These pathways use small RNAs to guide sequence‐specific repression and contribute to oocyte biology by targeting genes and mobile elements or appear insignificant since different ...
Petr Svoboda, Josef Pasulka
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Stability Issues for Selected Stochastic Evolutionary Problems: A Review
Axioms, 2018 We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations.
Angelamaria Cardone +3 more
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Modulation Equation for Stochastic Swift--Hohenberg Equation [PDF]
SIAM Journal on Mathematical Analysis, 2013 The purpose of this paper is to study the influence of large or unbounded domains on a stochastic PDE near a change of stability, where a band of dominant pattern is changing stability. This leads to a slow modulation of the dominant pattern. Here we consider the stochastic Swift--Hohenberg equation and derive rigorously the Ginzburg--Landau equation ...
Wael W. Mohammed +2 more
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On stochastic equations with drift in Ld [PDF]
The Annals of Probability, 2021 31 pages, one remark rewritten, numerous misprints corrected, a reference updated, Theorem 2.6 is ...
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