scholarly journals Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator

2021 ◽  
Vol 6 (2) ◽  
pp. 1865-1879
Author(s):  
Hedi Yang ◽  
Keyword(s):  
Neutral Type ◽  
Almost Periodicity ◽  
Proportional Delays ◽  
D Operator ◽  
Pseudo Almost Periodicity

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.

scholarly journals Stepanov-like pseudo almost periodic functions on time scales and applications to dynamic equations with delay

2018 ◽  
Vol 16 (1) ◽  
pp. 826-841 ◽  
Author(s):  
Chao-Hong Tang ◽  
Hong-Xu Li
Keyword(s):  
Time Scales ◽  
Dynamic Equations ◽  
Translation Invariance ◽  
Almost Periodicity ◽  
Almost Periodic ◽  
Existence And Uniqueness Results ◽  
Uniqueness Results ◽  
Pseudo Almost Periodicity ◽  
Pseudo Almost Periodic ◽  
Equations With Delay

AbstractIn this paper, we introduce the concept of Sp-pseudo almost periodicity on time scales and present some basic properties of it, including the translation invariance, uniqueness of decomposition, completeness and composition theorem. Moreover, we prove the seemingly simple but nontrivial result that pseudo almost periodicity implies Stepanov-like pseudo almost periodicity. As an application of the abstract results, we present some existence and uniqueness results on the pseudo almost periodic solutions of dynamic equations with delay.

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