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Oscillations of nonlinear difference equations with deviating arguments

George E. Chatzarakis, Julio G. Dix

Received May 14, 2016.   First published May 24, 2017.

Abstract: This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.

Keywords: infinite sum condition; retarded argument; advanced argument; oscillatory solution; nonoscillatory solution

Classification (MSC 2010): 39A10, 39A21

DOI: 10.21136/MB.2017.0055-16

Full text available as PDF.

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