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Keywords:
partial difference equation; oscillation; variable coefficient
partial difference equation; oscillation; variable coefficient
Summary:
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.
References:
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[4] Zhang, B. G., Liu, S. T.: On the oscillation of two partial difference equations. J. Math. Anal. Appl. 206 (1997), 480-492. DOI 10.1006/jmaa.1997.5239 | MR 1433951 | Zbl 0877.39012
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