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OverviewThe book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued) functions and (multivalued) fractals are supplied to the main three chapters. Full Product DetailsAuthor: J. Andres , Lech GórniewiczPublisher: Springer Imprint: Springer Edition: Softcover reprint of the original 1st ed. 2003 Volume: 1 Dimensions: Width: 17.00cm , Height: 3.90cm , Length: 24.40cm Weight: 1.322kg ISBN: 9789048163182ISBN 10: 9048163188 Pages: 761 Publication Date: 10 April 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsI Theoretical background.- II General principles.- III Application to differential equations and inclusions.- Appendices.- A.1. Almost-periodic single-valued and multivalued functions.- A.2. Derivo-periodic single-valued and multivalued functions.- A.3. Fractals and multivalued fractals.- References.ReviewsFrom the reviews: This book is the most complete and well written text so far on the applications of topological fixed point principles to boundary value problems for ordinary differential equations and differential inclusions. It is a unique monograph dealing with topological fixed point theory in the framework of non-metric spaces, and part of the material focuses on recent results of one author, or both of them. -- MATHEMATICAL REVIEWS The monograph is devoted to the topological fixed point theory ! . The book is self-contained and every chapter concludes by a section of Remarks and Comments ! . I believe that this monumental monograph will be extremely useful to postgraduates students and researchers in topological fixed point theory nonlinear analysis, nonlinear differential equations and inclusions ! . This book should stimulate a great deal of interest and research in topological methods in general and in their applications in particular. (Radu Precup, Studia universitatis Babes-Bolyai Mathematica, Vol. XLIX (1), 2004) From the reviews: This book is the most complete and well written text so far on the applications of topological fixed point principles to boundary value problems for ordinary differential equations and differential inclusions. It is a unique monograph dealing with topological fixed point theory in the framework of non-metric spaces, and part of the material focuses on recent results of one author, or both of them. -- MATHEMATICAL REVIEWS The monograph is devoted to the topological fixed point theory ... . The book is self-contained and every chapter concludes by a section of Remarks and Comments ... . I believe that this monumental monograph will be extremely useful to postgraduates students and researchers in topological fixed point theory nonlinear analysis, nonlinear differential equations and inclusions ... . This book should stimulate a great deal of interest and research in topological methods in general and in their applications in particular. (Radu Precup, Studia universitatis Babes-Bolyai Mathematica, Vol. XLIX (1), 2004) Author InformationTab Content 6Author Website:Countries AvailableAll regions |