scholarly journals Oscillation and nonoscillation criteria for half-linear second order differential equations

2006 ◽  
Vol 36 (2) ◽  
pp. 203-219 ◽  
Author(s):  
Ondřej Došlý ◽  
Alexander Lomtatidze
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Second Order Differential Equations ◽  
Oscillation And Nonoscillation Criteria ◽  
Oscillation And Nonoscillation

scholarly journals Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

2017 ◽  
Vol 15 (1) ◽  
pp. 548-561 ◽  
Author(s):  
Adil Misir ◽  
Banu Mermerkaya
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Common Multiple ◽  
Periodic Coefficients ◽  
Least Common Multiple ◽  
Second Order Differential Equations ◽  
Positive Coefficients ◽  
Oscillation Constant ◽  
Oscillation And Nonoscillation

Abstract In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with α—periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.

Oscillation and Nonoscillation Criteria for Second-Order Linear Differential Equations

1997 ◽  
Vol 4 (2) ◽  
pp. 129-138
Author(s):  
A. Lomtatidze
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Linear Differential ◽  
Oscillation And Nonoscillation Criteria ◽  
Oscillation And Nonoscillation

Abstract Sufficient conditions for oscillation and nonoscillation of second-order linear equations are established.

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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