Fixed points and topological degree in nonlinear analysis is popular PDF and ePub book, written by Jane Cronin in 1995-01-05, it is a fantastic choice for those who relish reading online the Fixed point theory genre. Let's immerse ourselves in this engaging Fixed point theory book by exploring the summary and details provided below. Remember, Fixed points and topological degree in nonlinear analysis can be Read Online from any device for your convenience.
Fixed points and topological degree in nonlinear analysis Book PDF Summary
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.
Detail Book of Fixed points and topological degree in nonlinear analysis PDF
- Author : Jane Cronin
- Release : 05 January 1995
- Publisher : American Mathematical Soc.
- ISBN : 9780821815113
- Genre : Fixed point theory
- Total Page : 212 pages
- Language : English
- PDF File Size : 11,7 Mb
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