Almost Periodic Solutions of Linear Differential Equations

2020 ◽  
pp. 197-274
Author(s):  
David N. Cheban
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Linear Differential Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Linear Differential

scholarly journals On linear almost periodic systems with bounded solutions

1997 ◽  
Vol 55 (2) ◽  
pp. 177-184 ◽  
Author(s):  
V. I. Tkachenko
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Linear Differential Equations ◽  
Periodic Systems ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Bounded Solutions ◽  
Adjoint Matrix ◽  
Frequency Module ◽  
Linear Differential

It is proved that in every neighbourhood of a system of linear differential equations with almost periodic skew-adjoint matrix with frequency module ℱ there exists a system with frequency module contained in the rational hull of ℱ possessing all almost periodic solutions.

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