scholarly journals The dynamic analysis on a class of stochastic impulsive equations with doubly weighted pseudo almost automorphic coefficients on time scales

2021 ◽  
Author(s):  
Ping Zhu
Keyword(s):  
Dynamic Analysis ◽  
Time Scales ◽  
Impulsive Equations ◽  
Almost Automorphic ◽  
Pseudo Almost Automorphic

scholarly journals The dynamic analysis on a class of stochastic impulsive equations with doubly weighted pseudo almost automorphic coefficients on time scales

2021 ◽  
Author(s):  
Ping Zhu
Keyword(s):  
Dynamic Analysis ◽  
Stochastic Processes ◽  
Time Scales ◽  
Existence And Uniqueness ◽  
Translation Invariance ◽  
New Approach ◽  
Impulsive Equations ◽  
Almost Automorphic ◽  
Pseudo Almost Automorphic

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.

scholarly journals Pseudo almost automorphic solutions of class r in α-norm under the light of measure theory

2020 ◽  
Vol 7 (1) ◽  
pp. 81-101
Author(s):  
Issa Zabsonre ◽  
Djendode Mbainadji
Keyword(s):  
Phase Space ◽  
Spectral Decomposition ◽  
Measure Theory ◽  
New Approach ◽  
Almost Automorphic ◽  
Almost Automorphic Functions ◽  
Pseudo Almost Automorphic ◽  
Automorphic Functions

AbstractUsing the spectral decomposition of the phase space developed in Adimy and co-authors, we present a new approach to study weighted pseudo almost automorphic functions in the α-norm using the measure theory.

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