Global Analysis - Studies and Applications IV
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1453 Yu. G. Borisovich
YU. E. Gliklikh (Eds.)
Global AnalysisStudies and Applications IV
Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong Kong Barcelona
Editors
YuriT G. Borisovich YuriT E. Gliklikh Department of Mathematics, Voronezh State University 394693, Voronezh, USSR Consulting Editor
A. M. Vershik Department of Mathematics and Mechanics Leningrad State University 198904, Petrodvorets, Leningrad, USSR
The articles in this volume are translations of the articles that appeared originally in Russian in the books "Global'nyl analiz i nelineTnye Oravneniya" and "Topologicheskie i geometricheskie metody analiza" published by Voronezh University Press in 1988 and 1989.
Mathematics Subject Classification (1980): 5802, (01A70, 58B20, 58C06, 58C27, 58C30, 58030, 58E07, 58E12, 58F05, 58G11, 58G20, 58G32,58H15)
ISBN 3540534075 SpringerVerlag Berlin Heidelberg New York ISBN 0387534075 SpringerVerlag New York Berlin Heidelberg
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© SpringerVerlag Berlin Heidelberg 1990 Printed in Germany Printing and binding: Druckhaus Beltz, Hemsbach/Bergstr. 2146/3140543210 Printed on acidfree paper
PREFAOE This Lecture Notes volume (a sequel to volumes 1108, 1214 and 1334) continues the presentation to English speaking readers of the Voronezh University Press series "Novoe v global'nom analize" (New Developments in Global Analysis). Here we publish the articles selected from two issues of the series entitled "Global Analysis and Nonlinear Equations" (1988) and "Topological and Geometrical Methods of Analysis" (1989). The articles are ordered chronologically. The date of publication in Russian is indicated in the Oontents. Besides the articles devoted to Global Analysis itself we have included a paper dedicated to the memory of A.N.Kolmogorov (who died on Oct. 20, 1987) which is written by his former student V.M.Tikhomf.rov (professor at Moscow University). This is a tribute to A.N.Kolmogorov's influence on the development of mathematics of the 20th century, in particular on the development of Global Analysis. We should like to acknowledge the assistance of all the members of the series'editorial board, especially A.T.Fomenko, A.S.MishchenkOt S.P.Novikov, M.M.Postnikov and A.M.Vershik. Yu.G.Borisovich Yu.E.Gliklikh December, 1989
OONTENTs 1988 Babin A.V. and Vishik M.I. Semigroups dependent on a parameter, their attractors and asymptotic behaviour. Borisovich Yu.G. A modern approach to the theory of topOlOgical characteristics of nonline
