Topological Methods in the Study of Boundary Value Problem
General Material Designation
[Book]
First Statement of Responsibility
/ electronic resource
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA
Name of Publisher, Distributor, etc.
: Springer US :Imprint: Springer,
Date of Publication, Distribution, etc.
, 2014.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
XVI, 226 s. 18 illus. , online resource..
SERIES
Series Title
(Universitext,0172-5939)
GENERAL NOTES
Text of Note
9781461488927.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
CONTENTS NOTE
Text of Note
Summary: 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.
Text of Note
Introduction -- Shooting type methods -- The Banach Fixed Point Theorem.-aSchauder@2019s Theorem and applications.-aTopological degree: an introduction -- Applications.-aBasic facts on metric and normed spaces -- Brief review of ODE@2019s.-aHints and Solutions to Selected Exercises.