On the oscillation of higher–order half–linear delay difference equations

Authors

Yasar Bolat et al, Department of Mathematics, Faculty of Science and Literatures, Kastamonu University, 37110- Kastamonu, Turkey

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.

Suggested Reviewers

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Recommended Citation

Bolat et al, Yasar (2012) "On the oscillation of higher–order half–linear delay difference equations," Applied Mathematics & Information Sciences: Vol. 06: Iss. 3, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol06/iss3/5