Comparison theorems for second-order differential equations with deflecting arguments

1984 ◽  
Vol 35 (5) ◽  
pp. 540-543
Author(s):  
A. F. Ivanov

1996 ◽  
Vol 9 (6) ◽  
pp. 29-35 ◽  
Author(s):  
R.P. Agarwal ◽  
Wei-Cheng Lian ◽  
Cheh-Chih Yeh


Author(s):  
Donald C. Benson

SynopsisIntegral inequalities are used to obtain comparison theorems for a class of second-order differential equations which includes the Emden-Fowler equation, certain Liénard equations, and linear equations of the form d2y/dx2+f(x)y = 0. For these linear equations the results below imply Sturm's classical comparison theorem.



2011 ◽  
Vol 57 (2) ◽  
pp. 409-416
Author(s):  
Mihai Anastasiei

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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