Alexander Tolstonogov

(Author)

Differential Inclusions in a Banach Space (2000)Hardcover - 2000, 31 October 2000

Differential Inclusions in a Banach Space (2000)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics & Its Applications (Unnumbered Hardcover)
Print Length
302 pages
Language
English
Publisher
Springer
Date Published
31 Oct 2000
ISBN-10
0792366182
ISBN-13
9780792366188

Description

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.

Product Details

Author:
Alexander Tolstonogov
Book Edition:
2000
Book Format:
Hardcover
Country of Origin:
US
Date Published:
31 October 2000
Dimensions:
23.39 x 15.6 x 1.91 cm
ISBN-10:
0792366182
ISBN-13:
9780792366188
Language:
English
Location:
Dordrecht
Pages:
302
Publisher:
Weight:
630.49 gm

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