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TOPOLOGICAL INDEX AND AVERAGING PRINCIPLE

By Mikhail Igorevich Kamensky

Abstract

The averaging procedures for new classes of such differential equations as equations with deviating argument of the neutral type, abstract parabolic equations with non-compact semi-group and parabolic equations with deviating argument are substantiated. In the last case the nearness interval elongation in the solutions of the averaged and non-averaged equations has been determined, and the topological substantiation of the transfer to the first approximation equations has been given. The theorems about inheritance of the stability properties generating its equilibrium state of the averaged equation with the periodical solutions of the non-averaged equation have been proved. The theory of non-compactness measures and tightening operators which are the basic investigation tool is developed.Available from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio

Topics: 12A - Pure mathematics, TOPOLOGICAL INDEX, AVERAGING PRINCIPLE
Year: 1996
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Provided by: OpenGrey Repository
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