Sturm and Liouville's work on ordinary linear differential equations. The emergence of Sturm-Liouville theory

1984 ◽  
Vol 29 (4) ◽  
pp. 309-376 ◽  
Author(s):  
Jesper L�tzen
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Liouville Theory ◽  
Sturm Liouville ◽  
Linear Differential ◽  
Ordinary Linear Differential Equations

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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