The original paper and other resources (wikipedia) always define a core-object depending on a radius ε (there must be more than MinPts neighbors) using expressions like within or up to. This leaves a room for interpretation whether this radius is inclusive or not: is an object q a neighboor of p if the distance(p, q) is exaclty ε?
It is obviously very important since all the definitions are based on that...
The definition in the original dbscan paper for the neighborhood is dist(p, q) <= eps. However, most implementation will use whatever range query the database index supports. In most cases, it will not make a difference and OmG is right that by adding the smallest representable number to eps will effectively change < to <=.