A necessary and sufficient condition for the oscillation of first order linear difference equations with several delay arguments

Hongwu Wu

Applied Mathematics and Computation, 2020, vol. 369, issue C

Abstract: In this article, we discuss the oscillation of all solutions of a first order linear delay difference equation with several delay arguments and obtain some new oscillation criteria under more relaxed conditions. In particular, we establish a necessary and sufficient condition only based on the coefficient functions and delay arguments when the coefficient functions are non-negative. Examples and tables are given to illustrate our results.

Keywords: Oscillation; Non-oscillation; Difference equations; Several delay arguments (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308513

DOI: 10.1016/j.amc.2019.124859

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