Differential Inclusions in a Banach Space by Alexander TolstonogovDifferential Inclusions in a Banach Space by Alexander Tolstonogov

Differential Inclusions in a Banach Space

byAlexander Tolstonogov

Paperback | December 6, 2010

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Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph [19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space. This approach relies on ideas and methods of modem functional analysis, general topology, the theory of multi-valued mappings and continuous selectors. Although the basic content of the previous monograph has been remained the same this monograph has been partly re-organized and the author's recent results have been added. The contents of the present book are divided into five Chapters and an Appendix. The first Chapter of the J>ook has been left without changes and deals with multi-valued differential equations generated by a differential inclusion. The second Chapter has been significantly revised and extended. Here the au­ thor's recent results concerning extreme continuous selectors of multi-functions with decomposable values, multi-valued selectors ofmulti-functions generated by a differential inclusion, the existence of solutions of a differential inclusion, whose right hand side has different properties of semicontinuity at different points, have been included. Some of these results made it possible to simplify schemes for proofs concerning the existence of solutions of differential inclu­ sions with semicontinuous right hand side a.nd to obtain new results. In this Chapter the existence of solutions of different types are considered.
Title:Differential Inclusions in a Banach SpaceFormat:PaperbackDimensions:302 pages, 24.4 × 17 × 0.01 inPublished:December 6, 2010Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048155800

ISBN - 13:9789048155804


Table of Contents

Preface. 1. Multi-Valued Differential Equation Generated by a Differential Inclusion. 2. Differential Inclusions. Existence of Solutions. 3. Properties of Solutions. 4. Integral Funnel of the Differential Inclusion. 5. Inclusions with Non-Compact Right Hand Side. Appendices. References. Index. Symbols.