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2017 On the Oscillation of Solutions of First-Order Difference Equations with Delay
Y. Shoukaku
Commun. Math. Anal. 20(2): 62-67 (2017).

Abstract

Consider the first order delay difference equation $$\Delta x_{n} + p_{n} x_{\sigma(n)} = 0, \quad n \in {\mathbb N}_0,$$ where $\{p_{n}\}_{n \in {\mathbb N}_0}$ is a sequence of nonnegative real numbers, and $\{\sigma(n)\}_{n \in {\mathbb N}_0}$ is a sequence of integers such that $\sigma(n) \le n-1$, and $\displaystyle \lim_{n \to \infty}\sigma(n) = +\infty$. We obtain similar oscillation criteria of delay differential equations. This criterion is used by more simple method until now.

Citation

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Y. Shoukaku. "On the Oscillation of Solutions of First-Order Difference Equations with Delay." Commun. Math. Anal. 20 (2) 62 - 67, 2017.

Information

Published: 2017
First available in Project Euclid: 9 January 2018

MathSciNet: MR3744011
zbMATH: 1383.39012

Subjects:
Primary: 39A21

Rights: Copyright © 2017 Mathematical Research Publishers

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Vol.20 • No. 2 • 2017
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