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

被引：2

作者：

Upadhyaya, Anjali ^{[1
]}

Kumar, Surendra ^{[1
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

来源：

FILOMAT | 2022年 / 36卷 / 04期

关键词：

Second-order non-autonomous system; stochastic evolution inclusions; Fixed point; Rosenblatt process; Infinite delay; Clarke's generalized subdifferential; Mild solution; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY; EVOLUTION INCLUSIONS; ROSENBLATT PROCESS; DELAY DRIVEN;

D O I：

10.2298/FIL2204215U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1215 / 1230

页数：16

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