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 140
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