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 1161.39014
Zhou, Yong; Zhang, B.G.; Li, C.F.
Remarks on oscillation and nonoscillation for second-order linear difference equations.
(English)
[J] Appl. Math. Lett. 21, No. 6, 578-580 (2008). ISSN 0893-9659

In this remark, the authors consider the second-order linear difference equation $$\Delta^2x_{n-1}+p_nx_n=0,\quad n\geq n^0,$$ where $\{p_n\}^{\infty}_{n=1}$ is a real sequence with $p_n\geq 0$ for $n\geq n^0$. The main contribution is two-fold. One is to show that the main results of an earlier work by {\it W. T. Li} and {\it S. S. Cheng} [ibid. 16, No. 2, 161--163 (2003; Zbl 1052.39009)] are incorrect. The other is to obtain a generalized criterium about the oscillation and nonoscillation of the equation.
[Shangjiang Guo (Hunan)]
MSC 2000:
*39A11 Stability of difference equations
39A10 Difference equations

Keywords: oscillation; nonoscillation; second-order linear difference equation

Citations: Zbl 1052.39009

Highlights
Master Server