Geodesic
Iterated oscillation criteria for delay partial difference equations
Mathematica Bohemica, Tome 139 (2014) no. 3, pp. 437-450.

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In this paper, by using an iterative scheme, we advance the main oscillation result of Zhang and Liu (1997). We not only extend this important result but also drop a superfluous condition even in the noniterated case. Moreover, we present some illustrative examples for which the previous results cannot deliver answers for the oscillation of solutions but with our new efficient test, we can give affirmative answers for the oscillatory behaviour of solutions. For a visual explanation of the examples, we also provide 3D graphics, which are plotted by a mathematical programming language.
DOI : 10.21136/MB.2014.143934
Classification : 39A14, 39A21
Keywords: partial difference equation; oscillation; variable coefficient 
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Karpuz, Başak; Öcalan, Özkan. Iterated oscillation criteria for delay partial difference equations. Mathematica Bohemica, Tome 139 (2014) no. 3, pp. 437-450. doi : 10.21136/MB.2014.143934. http://geodesic.mathdoc.fr/articles/10.21136/MB.2014.143934/

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