Bounded solutions of linear differential equations in a banach space

2006 ◽  
Vol 9 (1) ◽  
pp. 1-12 ◽  
Author(s):  
A. A. Boichuk ◽  
A. A. Pokutnii
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Linear Differential Equations ◽  
Bounded Solutions ◽  
Linear Differential

scholarly journals On almost automorphic solutions of linear operational-differential equations

2004 ◽  
Vol 2004 (22) ◽  
pp. 1179-1182 ◽  
Author(s):  
Gaston M. N'Guérékata
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Linear Operators ◽  
Linear Differential Equations ◽  
Almost Periodicity ◽  
Bounded Solutions ◽  
Almost Automorphic ◽  
Linear Differential

We prove almost periodicity and almost automorphy of bounded solutions of linear differential equationsx′(t)=Ax(t)+f(t)for some class of linear operators acting in a Banach space.

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.

Second-order linear differential equations in a Banach space and splitting operators

2017 ◽  
Vol 61 (10) ◽  
pp. 32-43 ◽  
Author(s):  
A. G. Baskakov ◽  
T. K. Katsaran ◽  
T. I. Smagina
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Second Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linear Differential

ABOUT THE BANACH ALGEBRA OF COMPLEX OPERATORS

2018 ◽  
pp. 813-823 ◽  
Author(s):  
Vasiliy Ilyich Fomin
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Banach Algebra ◽  
Bounded Operator ◽  
Linear Differential Equations ◽  
Linear Differential

The Banach algebra of complex operators that are used in the study of linear differential equations with constant bounded operator coefficients in a Banach space is consiuder.

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