D. Yu. Kalinchenko
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.
S. N. Ckopinov
For a class of evolutional variational inequalities sufficient stability conditions on a finite time interval are given by using Lyapunov functions and frequency conditions. The inequalities are considered for Hilbert space and infinite order Sobolev space (according to Y.A.Dubinsky).
The usage of the stability result on a finite time interval to characterize bifurcation is shown. To obtain observation functional the algorithm using the isomorphism between the algebra of differential operators with constant coefficients and real analytical functions in an area as the algebra symbols and the algebra of analytical matrix functions is given.