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2017
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.
In this work we consider the first order linear difference equation −yt+1+(1+rt)yt=εt, t=0,1,2,…, where ε ∈ lp, 1 ≤ p ≤ ∞, rt ≥ 0 and ∏j=0T−1(1+rt+j)<∞, T=1,2,…. The equation is called correctly solvable in the given space lp, 1 ≤ p ≤ ∞ if for any ε ∈ lp there is a unique solution y ∈ lp and the following inequality ||y||lp≤c(p)||ε||lp for all ε ∈ lp holds with absolute constant 0 < c(p) < ∞. We find a criterion for correct solvability of the above difference equation in space lp.