Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

2021 ◽  
Vol 410 ◽  
pp. 126443
Author(s):  
Ahmed M. Elshenhab ◽  
Xing Tao Wang
Keyword(s):  
Multiple Delays ◽  
Differential Systems ◽  
Linear Differential Systems ◽  
Representation Of Solutions ◽  
Linear Differential ◽  
Pure Delay

scholarly journals (ω, c)- Pseudo almost periodic distributions

2020 ◽  
Vol 7 (1) ◽  
pp. 237-248 ◽  
Author(s):  
Mohammed Taha Khalladi ◽  
Abdelkader Rahmani
Keyword(s):  
Almost Periodicity ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Differential Systems ◽  
Schwartz Distributions ◽  
Pseudo Almost Periodic Solutions ◽  
Linear Differential Systems ◽  
Linear Differential ◽  
Pseudo Almost Periodicity ◽  
Pseudo Almost Periodic

AbstractThe paper is a study of the (w, c) −pseudo almost periodicity in the setting of Sobolev-Schwartz distributions. We introduce the space of (w, c) −pseudo almost periodic distributions and give their principal properties. Some results about the existence of distributional (w, c) −pseudo almost periodic solutions of linear differential systems are proposed.

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