Karpuz, Başak; Öcalan, Özkan Further oscillation criteria for partial difference equations with variable coefficients. (English) Zbl 1189.39011 Comput. Math. Appl. 59, No. 1, 55-63 (2010). Summary: Some new oscillation criteria on the oscillation of first-order partial delay difference equations with nonnegative variable coefficients, which improve the recent ones under some additional conditions, are given. Some examples to illustrate the applicability of our results are also supplied of which solutions are plotted by the mathematical programming language Mathematica 7.0. Cited in 1 Document MSC: 39A14 Partial difference equations 39A21 Oscillation theory for difference equations Keywords:partial difference equations; oscillation; nonnegative variable coefficients Software:Mathematica PDF BibTeX XML Cite \textit{B. Karpuz} and \textit{Ö. Öcalan}, Comput. Math. Appl. 59, No. 1, 55--63 (2010; Zbl 1189.39011) Full Text: DOI References: [1] Cheng, S. S., (Partial Difference Equations. Partial Difference Equations, Advances in Discrete Math. and Applications, vol. 3 (2003), Taylor & Francis: Taylor & Francis London) · Zbl 1016.39001 [2] Zhang, B. G.; Liu, S. T.; Cheng, S. S., Oscillation of a class of delay partial difference equations, J. Differential Equations Appl., 1, 3, 215-226 (1995) · Zbl 0856.39015 [3] Zhang, B. G.; Liu, S. T., On the oscillation of two partial difference equations, J. Math. Anal. Appl., 206, 2, 480-492 (1997) · Zbl 0877.39012 [4] Zhang, B. G.; Agarwal, R. P., The oscillation and stability of delay partial difference equations, Comput. Math. Appl., 45, 6-9, 1253-1295 (2003) · Zbl 1062.39011 [5] Zhang, B. G.; Zhou, Y., (Qualitative Analysis of Delay Partial Difference Equations. Qualitative Analysis of Delay Partial Difference Equations, Contemp. Math. and Its Applications, vol. 4 (2007), Hindawi Publishing Corporation: Hindawi Publishing Corporation New York) [6] Tang, X. H.; Yu, J. S., Oscillation of delay difference equation, Comput. Math. Appl., 37, 7, 11-20 (1999) · Zbl 0937.39012 [7] Ladas, G.; Philos, C. G.; Sficas, Y. G., Sharp conditions for the oscillation of delay difference equations, J. Appl. Math. Simulation, 2, 2, 101-111 (1989) · Zbl 0685.39004 [8] Erbe and, L.; Zhang, B. G., Oscillation of discrete analogues of delay equations, Differential Integral Equations, 2, 3, 300-309 (1989) · Zbl 0723.39004 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.