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The dynamic analysis on a class of stochastic impulsive equations with doubly weighted pseudo almost automorphic coefficients on time scales
  • Ping Zhu
Ping Zhu
Luoyang Normal University

Corresponding Author:zhupingmath@163.com

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Abstract

Devoting to exploring the translation invariance and convolution invariance of doubly weighted pseudo almost automorphic stochastic processes with impulses on time scales proposed in this paper. Based on these results, taking advantage of a new approach to obtain the existence and uniqueness of the doubly weighted pseudo almost automorphic solutions to a class of stochastic nonlinear impulsive equations on time scales, which enrich the dynamics of doubly weighted pseudo almost automorphic stochastic processes. Finally, an example is researched to illustrate our conclusions.
12 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
13 Feb 2021Submission Checks Completed
13 Feb 2021Assigned to Editor
20 Feb 2021Reviewer(s) Assigned
30 May 2021Review(s) Completed, Editorial Evaluation Pending
31 May 2021Editorial Decision: Revise Minor
07 Jun 20211st Revision Received
08 Jun 2021Submission Checks Completed
08 Jun 2021Assigned to Editor
08 Jun 2021Reviewer(s) Assigned
24 Jun 2021Review(s) Completed, Editorial Evaluation Pending
24 Jun 2021Editorial Decision: Accept
30 Nov 2021Published in Mathematical Methods in the Applied Sciences volume 44 issue 17 on pages 13774-13790. 10.1002/mma.7657