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Author Country (or Countries)

Turkey

Abstract

In this paper, sufficient conditions are established for the oscillatory and asymptotic behavior of higher–order half–linear delay difference equation of the form ¢(pn(¢m?1(xn + qnx?n))®) + rnx¯ ¾n = 0; n ¸ n0; where it is assumed that P1 s=n0 1=p1=® s < 1. The main theorem improves some existing results in the literature. An example is provided to demonstrate the effectiveness of the main result.

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