Advanced Search

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]