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OSCILLATION OF HIGHER ORDER STRONGLY SUPERLINEAR AND STRONGLY SUBLINEAR DIFFERENCE EQUATIONS
OSCILLATION OF HIGHER ORDER STRONGLY SUPERLINEAR AND STRONGLY SUBLINEAR DIFFERENCE EQUATIONS
Journal of applied mathematics & informatics. 2014. May, 32(3_4): 455-464
  • Received : April 23, 2013
  • Published : May 30, 2014
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Grace Said R.
Han Zhenlai
Li Xinhui

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 <TEX>${\infty}$</TEX> to a factorial expression <TEX>$(t)^{(m-1)}$</TEX>.
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