Fixed Points and Topological Degree in Nonlinear Analysis

Language: English

Published by American Mathematical Society, US, 1995

0821815113 / 9780821815113

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The topological methods based on fixed-point theory and on local topological degree which have been developed by Leray, Schauder, Nirenberg, Cesari and others for the study of nonlinear differential equations are here described in detail, beginning with elementary considerations. The reader is not assumed to have any knowledge of topology beyond the theory of point sets in Euclidean n-space which ordinarily forms part of a course in advanced calculus. The methods are first developed for Euclidean n-space and applied to the study of existence and stability of periodic and almost-periodic solutions of systems of ordinary differential equations, both quasi-linear and with 'large' nonlinearities. Then, after being extended to infinite-dimensional 'function-spaces', these methods are applied to integral equations, partial differential equations and further problems concerning periodic solutions of ordinary differential equations.

Seller Inventory # LU-9780821815113

Title
Fixed Points and Topological Degree in Nonlinear Analysis
Author
American Mathem
Publisher
American Mathematical Society, US
Publication year
1995
Condition
New
Binding
Paperback
Language
English
ISBN 10
0821815113
ISBN 13
9780821815113
Edition
5th or later Edition
Item weight
384 grams

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