A Siegel theorem for periodic difference systems

2021 ◽  
pp. 1-14
Author(s):  
Tian Wang ◽  
Zhihua Ren
Keyword(s):  
Difference Systems ◽  
Siegel Theorem

On the Necessary and Sufficient Conditions for the Stability of Linear Generalized Ordinary Differential, Linear Impulsive and Linear Difference Systems

2009 ◽  
Vol 16 (4) ◽  
pp. 597-616
Author(s):  
Shota Akhalaia ◽  
Malkhaz Ashordia ◽  
Nestan Kekelia
Keyword(s):  
Linear System ◽  
Difference Equations ◽  
Closed Interval ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Difference Systems ◽  
The Stability ◽  
Necessary And Sufficient ◽  
Generalized Ordinary Differential Equations ◽  
Lyapunov Sense

Abstract Necessary and sufficient conditions are established for the stability in the Lyapunov sense of solutions of a linear system of generalized ordinary differential equations 𝑑𝑥(𝑡) = 𝑑𝐴(𝑡) · 𝑥(𝑡) + 𝑑𝑓(𝑡), where and are, respectively, matrix- and vector-functions with bounded total variation components on every closed interval from . The results are realized for the linear systems of impulsive, ordinary differential and difference equations.

scholarly journals Asymptotic equivalence between two difference systems

2003 ◽  
Vol 45 (6-9) ◽  
pp. 1327-1337 ◽  
Author(s):  
Sung Kyu Choi ◽  
Nam Jip Koo ◽  
Hyun Sook Ryu
Keyword(s):  
Asymptotic Equivalence ◽  
Difference Systems

THE BRAUER–SIEGEL THEOREM

2005 ◽  
Vol 72 (01) ◽  
pp. 40-52 ◽  
Author(s):  
STÉPHANE R. LOUBOUTIN
Keyword(s):  
Siegel Theorem

Difference Systems of Sets with Size 2

2015 ◽  
Vol 31 (6) ◽  
pp. 1867-1881 ◽  
Author(s):  
Shoko Chisaki ◽  
Nobuko Miyamoto
Keyword(s):  
Difference Systems ◽  
Difference Systems Of Sets
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