Eigenfunction Expansions Associated with Second‐order Differential Equations, Part 1

Physics Today ◽  
1962 ◽  
Vol 15 (8) ◽  
pp. 52-52 ◽  
Author(s):  
E. C. Titchmarsh ◽  
George Weiss
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Eigenfunction Expansions ◽  
Second Order Differential Equations

Banach Lie Algebroids

2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei
Keyword(s):  
Differential Equations ◽  
Smooth Manifold ◽  
Vector Bundles ◽  
Second Order ◽  
Lie Algebroids ◽  
Second Order Differential Equations

Banach Lie AlgebroidsFirst, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie algebroids structures modeled on anchored Banach vector bundles and prove that they form a category.

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