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Title: Differential Equations With Discontinuous Righthand Sides (Sovie T Series) by F.M. Arscott ISBN: 9-0277269-9-X Publisher: Kluwer Academic Publishers Pub. Date: 01 December, 1988 Format: Hardcover Volumes: 1 List Price(USD): $178.50

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Average Customer Rating: 4 (1 review)

Rating: 4
Summary: A Classic
Comment: This title is under the name of its editor, but I'd like to underline the Author's name: ALEKSEI FEDOROVICH FILIPPOV. His book is about differential equations with discontinuous righthand sides; a subject that you will not find in regular text books on differential equations. Filippov starts the discution stablishing a new concept of what a solution is in the context of discontinuities and states the main theorems on existence and uniqueness of these solutions. This book requires from the reader a deep mathematical background. Topics such as nonlinear systems, bifurcation theory and differential inclusions are addressed. Despite the fact that this is a math book, it is a highly recomended fundamental reading for every control engineer interested in nonlinear systems, especially in sliding mode control. The only bad thing about this book is that almost all bibliographical references are in Russian.