Reduction of a system of ordinary linear differential equations of an arbitrary positive rank to a system of the first rank. 1

1990 ◽  
Vol 48 (5) ◽  
pp. 579-588
Author(s):  
V. R. Smilyanskii
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations ◽  
Positive Rank

scholarly journals Limit Behavior of Solutions of Ordinary Linear Differential Equations

1994 ◽  
Vol 1 (3) ◽  
pp. 315-323
Author(s):  
František Neuman
Keyword(s):  
Differential Equations ◽  
Oscillatory Behavior ◽  
Linear Differential Equations ◽  
Limit Behavior ◽  
Limit Sets ◽  
Equivalent Linear ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

Abstract A classification of classes of equivalent linear differential equations with respect to ω-limit sets of their canonical representatives is introduced. Some consequences of this classification to the oscillatory behavior of solution spaces are presented.

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