Sharp conditions for the oscillation of delay difference equations

Sharp conditions for the oscillation of delay difference equations

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Article ID: iaor1990502
Country: United States
Volume: 2
Start Page Number: 89
End Page Number: 102
Publication Date: Jun 1989
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors: , ,
Abstract:

Suppose that equ1is a nonnegative sequence of real numbers and let k be a positive integer. We prove that equ2is a sufficient condition for the oscillation of all solutions of the delay difference equation equ3 equ4This result is sharp in that the lower bound equ5in the condition cannot be improved. Some results on difference inequalities and the existence of positive solutions are also presented.

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