Doubly-weighted pseudo almost automorphic solutions for stochastic dynamic equations with Stepanov-like coefficients on time scales

2020 ◽  
Vol 137 ◽  
pp. 109899
Author(s):  
Soniya Dhama ◽  
Syed Abbas ◽  
Amar Debbouche
Keyword(s):  
Time Scales ◽  
Dynamic Equations ◽  
Stochastic Dynamic ◽  
Almost Automorphic ◽  
Pseudo Almost Automorphic

Weighted pseudo δ-almost automorphic functions and abstract dynamic equations

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Chao Wang ◽  
Ravi P. Agarwal ◽  
Donal O’Regan
Keyword(s):  
Time Scales ◽  
Mild Solutions ◽  
Sufficient Conditions ◽  
Automorphic Function ◽  
Dynamic Equations ◽  
Almost Automorphic ◽  
Almost Automorphic Function ◽  
Almost Automorphic Functions ◽  
Automorphic Functions

Abstract In this paper, we propose the concept of a weighted pseudo δ-almost automorphic function under the matched space for time scales and we present some properties. Also, we obtain sufficient conditions for the existence of weighted pseudo δ-almost automorphic mild solutions to a class of semilinear dynamic equations under the matched spaces for time scales.

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