scholarly journals Almost Automorphic Functions of Ordernand Applications to Dynamic Equations on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Gisèle Mophou ◽  
Gaston Mandata N’Guérékata ◽  
Aril Milce
Keyword(s):  
Time Scales ◽  
Existence And Uniqueness ◽  
Dynamical Equation ◽  
Time Varying ◽  
First Order ◽  
Time Varying Delay ◽  
Almost Automorphic ◽  
Almost Automorphic Functions ◽  
Varying Delay ◽  
Automorphic Functions

We revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of ordern. Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution of first order to a dynamical equation with finite time varying delay.

Stability of stochastic dynamic equations with time-varying delay on time scales

2020 ◽  
Vol 38 (5) ◽  
pp. 909-928
Author(s):  
Nguyen Huu Du ◽  
Le Anh Tuan ◽  
Nguyen Thanh Dieu
Keyword(s):  
Time Scales ◽  
Dynamic Equations ◽  
Stochastic Dynamic ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

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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