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Cocycles of continuous iteration semigroups

Guzik G., Jarczyk W., Matkowski J.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 2

185-197

We give the form of all continuous cocycles of continuous iteration semigroups, mapping the product of the positive half-line and an interval into a topological group.

On continuity of measurable cocycles

Guzik G.

Journal of Applied Analysis

2000

Vol. 6, nr 2

295-302

It is proved that every measurable, non-vanishing cocycle defined on the product of (0,∞ ) and an arbitrary compact metric space is continuous. Some other sufficient conditions for continuity of a cocycle are also given.