Asymptotic Behavior Of Third Order Nonlinear Difference Equations With Mixed Arguments

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 1

Abstract

In this paper, we established criteria for asymptotic properties of nonlinear dierence equation with mixed arguments of the form ? 2(an(? xn)a) + qnf(xn-l) + pnh(xn+m) = 0,    n ? N 0where {an},  {pn} and {qn} are nonnegative real sequences,  a is a ratio of odd positive integer, and l and m are positive integers. We duduce the properties of studied equation by establishing new comparison theorem, so that some asymptotic properties of nonoscillatory solutions are resulted from the oscillation of a set of first order difference equations. Some examples are provided to illustrate the main results.

Authors and Affiliations

R. Arul

Keywords

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  • EP ID EP651307
  • DOI 10.24297/jam.v9i1.6881
  • Views 147
  • Downloads 0

How To Cite

R. Arul (2014). Asymptotic Behavior Of Third Order Nonlinear Difference Equations With Mixed Arguments. JOURNAL OF ADVANCES IN MATHEMATICS, 9(1), 1744-1754. https://europub.co.uk/articles/-A-651307