Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(1): 159-172

Printed January 31, 2015

https://doi.org/10.4134/BKMS.2015.52.1.159

Copyright © The Korean Mathematical Society.

Oscillation criteria for difference equations with several oscillating coefficients

Martin Bohner, George E. Chatzarakis, and Ioannis P. Stavroulakis

Missouri University of Science and Technology, School of Pedagogical and Technological Education (ASPETE), University of Ioannina

Abstract

This paper presents a new sufficient condition for the oscillation of all solutions of difference equations with several deviating arguments and oscillating coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.

Keywords: difference equations, retarded argument, advanced argument, oscillatory solutions, nonoscillatory solutions, oscillating coefficients

MSC numbers: 39A10, 39A21

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