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Most publications devoted to this independent branch of the general theory of differential equations, with applications in automatic control systems, the theory of differential games, and problems of economic dynamics, treat finite -dimensional space. Including updated results, this expanded English translation of the author's 1986 monograph is devoted to the development of a unified approach to studying multi-valued differential equations generated by differential inclusions in an infinite -dimensional space. Chapters introduce the symbols, definitions, and proving statements employed in further discussion. Includes the translated preface to the Russian edition, cross-referenced theorems, and an appended solution of a problem in the calculus of variations. Tolstonogov is with the Institute of System Dynamics and Control Theory at the Siberian Branch of the Russian Academy of Sciences in Irkutsk. Annotation c. Book News, Inc., Portland, OR (booknews.com)