Two Generalized Classes of Exponentially Dichotomous Linear Differential Systems on the Time Half-Line without Uniform Estimates for the Solution Norms. I

2020 ◽  
Vol 56 (1) ◽  
pp. 14-28
Author(s):  
E. A. Barabanov ◽  
E. B. Bekryaeva
2020 ◽  
Vol 7 (1) ◽  
pp. 237-248 ◽  
Author(s):  
Mohammed Taha Khalladi ◽  
Abdelkader Rahmani

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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