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Titlebook: Topological Methods in the Study of Boundary Value Problems; Pablo Amster Textbook 2014 Springer Science+Business Media New York 2014 Boun

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发表于 2025-3-21 17:22:34 | 显示全部楼层 |阅读模式
书目名称Topological Methods in the Study of Boundary Value Problems
编辑Pablo Amster
视频video
概述Some simple but representative problems in nonlinear analysis are studied.Only basic knowledge of main topics in general analysis is needed, making the book easy-to-understand for non-specialists too.
丛书名称Universitext
图书封面Titlebook: Topological Methods in the Study of Boundary Value Problems;  Pablo Amster Textbook 2014 Springer Science+Business Media New York 2014 Boun
描述This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader.
出版日期Textbook 2014
关键词Boundary value problems; Fixed point theorems; Nonlinear analysis; Topological degree; Topological metho
版次1
doihttps://doi.org/10.1007/978-1-4614-8893-4
isbn_softcover978-1-4614-8892-7
isbn_ebook978-1-4614-8893-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Science+Business Media New York 2014
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发表于 2025-3-21 21:43:57 | 显示全部楼层
The Banach Fixed Point Theorem,he implicit function theorem in Banach spaces and present some applications to boundary value problems. This requires knowing the basic notions of differentiation in Banach spaces, which, for the reader’s convenience, are presented here.
发表于 2025-3-22 00:41:18 | 显示全部楼层
Iterative Methods,nd requires only a basic knowledge of the theory of Banach spaces. Applications to different boundary value problems are given. Also, we introduce a Cantor diagonalization argument, which allows one to deal with problems in unbounded domains.
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Applications,ain some general continuation theorems that can be applied in many situations. In particular, most of the sections are devoted to the study of ., in connection with which we discuss some classical results and different extensions.
发表于 2025-3-22 14:50:09 | 显示全部楼层
Textbook 2014entary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable t
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发表于 2025-3-23 00:51:53 | 显示全部楼层
Shooting Type Methods,be self-contained and employs only concepts from basic calculus; for simplicity, the study of systems is restricted here to the two-dimensional case, for which we present a very elementary proof of the fixed point theorems we shall be using.
发表于 2025-3-23 01:30:18 | 显示全部楼层
978-1-4614-8892-7Springer Science+Business Media New York 2014
发表于 2025-3-23 08:56:55 | 显示全部楼层
Topological Methods in the Study of Boundary Value Problems978-1-4614-8893-4Series ISSN 0172-5939 Series E-ISSN 2191-6675
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