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On an approach to the analysis of oscillatory solutions of nonlinear delay difference equations
Authors:Nurten Kılıç
Affiliation:Faculty of Science and Art, Department of Mathematics, Kütahya Dumlupınar University, Kütahya, Turkey
Abstract:The objective of this article is to establish an oscillation criterion for all solutions of nonlinear difference equation where r(η) $$ rleft(eta right) $$ is a sequence of nonnegative real numbers and φ(η) $$ varphi left(eta right) $$ is not necessarily monotone sequence. Also, an example is presented to illustrate the significance of the main result.
Keywords:difference equation  nonlinear  nonmonotone delay  oscillation
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