Frequent Oscillation of a Class of Partial Difference Equations

C.J. Tian; Binggen Zhang

doi:10.4171/zaa/872

JournalszaaVol. 18, No. 1pp. 111–130

Frequent Oscillation of a Class of Partial Difference Equations

C.J. Tian
South China University of Technology, Guangzhou, China
Binggen Zhang
Ocean University of Qingdao, China

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Abstract

This paper is concerned with the partial difference equation

A_{m + l, n} + A_{m, n + l} - a_{m, n} A_{m, n} + p_{m, n} A_{m - k, n - l} = 0

where $k$ and $l$ are non-negative integers, { $a_{m, n}$ } and { $p_{m, n}$ } are real double sequences. Frequent oscillation criteria of this equation are obtained.

Cite this article

C.J. Tian, Binggen Zhang, Frequent Oscillation of a Class of Partial Difference Equations. Z. Anal. Anwend. 18 (1999), no. 1, pp. 111–130

DOI 10.4171/ZAA/872