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arXiv 2104.02660math.AP
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具有Clarke次微分和非瞬时脉冲的非自治二阶随机包含解的存在性

Existence of Solutions for Non-Autonomous Second-Order Stochastic Inclusions with Clarke's Subdifferential and non Instantaneous Impulses

Anjali Upadhyay, Surendra Kumar

摘要:

本文研究了希尔伯特空间中一类新的具有非瞬时脉冲、无界时滞和Rosenblatt过程的Clarke次微分形式的非自治二阶随机包含问题.利用集值映射的不动点策略,结合演化算子和随机分析方法,证明了该问题解的存在性。一个例子进行了分析的理论发展。

英文摘要:

This manuscript explores a new class of non-autonomous second-order stochastic inclusions of Clarke's subdifferential form with non-instantaneous impulses (NIIs), unbounded delay and the Rosenblatt process in Hilbert spaces. The existence of a solution is deduced by employing a fixed point strategy for a set-valued map together with the evolution operator and stochastic analysis approach. An example is analyzed for theoretical developments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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