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Аннотация

In this paper the semi-evolutionary systems and their approximations with small parameters on the derivatives over time are investigated. This problem is reduced to solving simple parabolic - elliptic system by the method of weak approximation. Thus the influence of small parameter e at the derivative with respect to time on the convergence of the solution of the split problem to the solution of the original problem is studied. Also estimates for derivatives are determined by spatial variables. As a result of research estimates of the rate of convergence of the problem solutions to the solution of the original problem as splitting parameter tends to zero are obtained.