Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order (Q541232)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order |
scientific article; zbMATH DE number 5904450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order |
scientific article; zbMATH DE number 5904450 |
Statements
Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order (English)
0 references
6 June 2011
0 references
The authors study asymptotic and oscillatory properties near \(x=0\) of all solutions of the self-adjoint linear differential equation \[ (py')'+qy=0. \] They give a characterization of the oscillatory behavior near \(x=0\) by means of the nonintegrability of \(\sqrt{q/p}\).
0 references
linear equations
0 references
oscillations
0 references
graph
0 references
rectifiability
0 references
comparison of solutions
0 references
asymptotic behaviour of solutions
0 references
Liouville transformation
0 references
Sturm's comparison
0 references
Euler equation
0 references
Bessel equation
0 references
0 references
0 references
0 references
