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Fixed Points and Topological Degree in Nonlinear Analysis

Jane Cronin

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Fixed Points and Topological Degree in Nonlinear Analysis. To get started finding Fixed Points and Topological Degree in Nonlinear Analysis, you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: American Mathematical Society

Release: —

ISBN: 0821815113

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Fixed Points and Topological Degree in Nonlinear Analysis. To get started finding Fixed Points and Topological Degree in Nonlinear Analysis, you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Fixed Points and Topological Degree in Nonlinear Analysis

Fixed Points and Topological Degree in Nonlinear Analysis

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