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http://dx.doi.org/10.14317/jami.2014.455

OSCILLATION OF HIGHER ORDER STRONGLY SUPERLINEAR AND STRONGLY SUBLINEAR DIFFERENCE EQUATIONS  

Grace, Said R. (Department of Engineering Mathematics, Faculty of Engineering Cairo University)
Han, Zhenlai (School of Mathematical Sciences, University of Jinan)
Li, Xinhui (School of Mathematical Sciences, University of Jinan)
Publication Information
Journal of applied mathematics & informatics / v.32, no.3_4, 2014 , pp. 455-464 More about this Journal
Abstract
We establish some new criteria for the oscillation of mth order nonlinear difference equations. We study the case of strongly superlinear and the case of strongly sublinear equations subject to various conditions. We also present a sufficient condition for every solution to be asymptotic at ${\infty}$ to a factorial expression $(t)^{(m-1)}$.
Keywords
Oscillation; Higher order; Difference Equations;
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