Ilya Valeryevich Ermakov
35, fl. 79, Razvodnaya st,
Peterhof, Saint-Petersburg,
198516, Russia
Saint-Petersburg State University
postgraduate student
Yuri Nikolaevich Kalinin
70 corp.3, Botanicheskaya st,
Peterhof, Saint-Petersburg,
198516, Russia
Saint-Petersburg State University
postgraduate student
Volker Reitmann
70 corp.3, Botanicheskaya st,
Peterhof, Saint-Petersburg,
198516, Russia
Saint-Petersburg State University
professor of the Department of Applied Cybernetics
Prof. Dr.
General cocycles on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced and a theorem on the existence of a finite number of determining modes for cocycles is proved. The existence proof of a B-pullback attractor for the microwave heating problem is stated. The notion of an almost periodic integral for a cocycle is introduced and the existence of such an integral for a class of cocycles is proved.