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.