A Survey on Sharp Oscillation Conditions for Delay Difference Equations

2022

Full text Open access: Gold Metadata (CSL-JSON)
DOI 10.15377/2409-5761.2021.08.9
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

Abstract

Consider the first-order linear difference equationwhere ๏„ denotes the forward difference operator, i.e. ๐›ฅ๐‘ฅ(๐‘›) = ๐‘ฅ(๐‘› + 1) -๐‘ฅ(๐‘›), {๐‘(๐‘›)} โˆž is a nonnegative sequence of reals and k is a natural number.Sharp conditions for the oscillation of all solutions to this equation are presented when the well-known oscillation conditions