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2014
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.
Using the Topological transversality theorem and the barrier strips technique, we study the solvability of the initial value problem x″ = f(t,x,x′),x(0) = A,x′(0) = B, where the scalar function f(t,x,p) may be unbounded as p→B. Obtained results guarantee the existence of at least one solution in C1[0,T]∩C2(0,T]. Under additional assumptions it is monotone and does not change its sign.