×

Oscillation of a class of delay partial difference equations. (English) Zbl 0856.39015

The paper deals with a class of partial difference equations of the form \[ u (i + 1,j) + u(i,j + 1) - u(i,j) + p(i,j) u(i - \sigma,j - \tau) = 0, \] where delays \(\sigma\) and \(\tau\) are nonnegative integers. Some oscillation criteria for these equations are obtained.

MSC:

39A12 Discrete version of topics in analysis
39A10 Additive difference equations
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Cheng S. S., Tamkang J. Math.
[2] Cheng S. S., Tamkang J. Math.
[3] Erbe L. H., Differential and Integral Eq. 2 pp 300– (1989)
[4] Gyori I., Oxford Mathematical Monographs (1991)
[5] Ladas G., J. Applied Math. Simulation 2 pp 101– (1989) · Zbl 0685.39004 · doi:10.1155/S1048953389000080
[6] Li X. P., Acta Chimica Sinica 40 pp 688– (1982)
[7] Strikwerda J. C., Finite Difference Schemes and Partial Differential Equations (1989) · Zbl 0681.65064
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.