时间尺度上脉冲随机演化方程的均方根几乎自同构解

Soniya Dhama, Syed Abbas
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引用次数: 8

摘要

本文研究了一类具有脉冲的随机演化方程的均方概自同构解的存在唯一性和指数稳定性。为此,我们引入了时间尺度上具有脉冲的等电位均方根几乎自同构序列和均方根几乎自同构函数的概念。最后,通过数值算例验证了所得理论结果的有效性。
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Square mean almost automorphic solution of stochastic evolution equations with impulses on time scales
In this paper, we study the existence, uniqueness and exponential stability of the square-mean almost automorphic solution for stochastic evolution equation with impulses on time scales. For this purpose, we introduce the concept of equipotentially square-mean almost automorphic sequence and square-mean almost automorphic functions with impulses on time scales. At the end, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.
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