Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1223.34047
Pašić, Mervan; Tanaka, Satoshi
Rectifiable oscillations of self-adjoint and damped linear differential equations of second-order.
(English)
[J] J. Math. Anal. Appl. 381, No. 1, 27-42 (2011). ISSN 0022-247X

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 $\sqrt{q/p}$.
[Jozef Dzurina (Košice)]
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34A30 Linear ODE and systems

Keywords: linear equations; oscillations; graph; rectifiability; comparison of solutions; asymptotic behaviour of solutions; Liouville transformation; Sturm's comparison; Euler equation; Bessel equation

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences