Hilbert空间中由Rosenblatt过程驱动的脉冲中立型随机泛函微分方程的可控性

Gulf Journal of Mathematics Pub Date : 2022-01-14 DOI:10.56947/gjom.v12i1.777

S. Hajji, E. Lakhel

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引用次数: 0

摘要

本文研究了Hilbert空间中Rosenblatt过程驱动的变时滞脉冲中立型随机泛函微分方程的可控性结果。利用Banach不动点定理得到了系统的可控性结果。最后，通过算例验证了所得结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on controllability of impulsive neutral stochastic functional differential equations driven by a Rosenblatt process in a Hilbert space

In this paper we study the controllability results of impulsive neutral stochastic functional differential equations with variable delays driven by Rosenblatt process in a Hilbert space. The controllability results are obtained by the Banach fixed point theorem. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained result.

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Gulf Journal of Mathematics

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