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 1007.39002
Oscillation of linear difference equations with deviating arguments.
(English)
[J] Comput. Math. Appl. 42, No.3-5, 477-486 (2001). ISSN 0898-1221

The difference equation with deviating arguments $$\Delta^2 u(k)+ \sum^m_{j=1} p_j(k) u(\sigma_j(k))= 0,$$ is considered, where $\Delta u(k)= u(k+1)- u(k)$, $\Delta^2= \Delta\circ \Delta$, $p_j\ge 0$, and $\lim_{k\to\infty} \sigma_j(k)= \infty$, $j= 1,\dots, m$. Sufficient conditions are obtained for all proper solutions of the equation to be oscillatory.
[Quingkai Kong (DeKalb)]
MSC 2000:
*39A11 Stability of difference equations
65Q05 Numerical methods for functional equations

Keywords: oscillation; linear difference equations; deviating arguments

Highlights
Master Server