Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Oscillation Criteria of Second-order Half-linear Delay Difference Equations

  • Saker, S.H. (Department of Mathematics, Faculty of Science, Mansoura University)
  • Received : 2004.05.11
  • Published : 2005.12.23
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Abstract

In this paper, we will establish some new oscillation criteria for the second-order half-linear delay difference equation $${\Delta}(Pn ({\Delta}Xn)^{\gamma})+q_nx_\array{{\gamma}\\n-{\sigma}}=0,\;n{\geq}n_0$$, where ${\gamma}>0$ is a quotient of odd positive integers. Our results in this paper are sharp and improve some of the well known oscillation results in the literature. Some examples are considered to illustrate our main results.

Keywords

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