Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1200.39002
Baštinec, J.; Dibl{\'\i}k, J.; Šmarda, Z.
Oscillation of solutions of a linear second-order discrete-delayed equation. (English)
[J] Adv. Difference Equ. 2010, Article ID 693867, 12 p. (2010). ISSN 1687-1847/e

The authors establish the oscillation of all nontrivial solutions of the second order linear difference equation $\Delta x(n)=-p(n)\,x(n-1)$, where $p(n)$ is bounded below by a certain expression involving the iterated logarithm functions. The presented oscillation result (Theorem~2.1) is a completion of the corresponding nonoscillation result for this difference equation obtained earlier by the same authors [J. Difference Equ. Appl. 16, No.~9, 1047--1056 (2010; Zbl 1207.39014)], in which the coefficient $p(n)$ is bounded above by an expression of the same type as described above.
[Roman Šimon Hilscher (Brno)]

MSC 2000:: *39A21
39A12 Discrete version of topics in analysis
39A06

Keywords: oscillation; second order linear difference equation; iterated logarithm functions

Citations: Zbl 1207.39014

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