论文标题

对于某些平均场随机进化方程的加权伪近似自动型轻度溶液

On weighted pseudo almost automorphic mild solutions for some mean field stochastic evolution equations

论文作者

Dieye, Moustapha, Diop, Amadou, Mbaye, Mamadou Moustapha, McKibben, Mark A.

论文摘要

当演变家族是双曲线的,并且满足了可伴随的terreni条件时,几乎是自动型轻度溶液的存在和唯一性以及加权的伪型几乎是自动型自主的固有溶液在平均非自治的随机进化方程中,由分数布朗尼运动所驱动。包括说明主要结果的示例。

When the evolution familiy is hyperbolic and satisfies the Acquistapace-Terreni conditions, the existence and uniquenness of an almost automorphic mild solution and a weighted pseudo almost automorphic mild solution in distribution of mean-filed nonautonomous stochastic evolution equations driven by fractional Brownian motion is proved. Examples illustrating the main results are included.

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