Fixed points and topological degree in nonlinear analysis (Mathematical Surveys and Monographs)

J Cronin

ISBN 10: 0821815113 / ISBN 13: 9780821815113

Published by American Mathematical Society, 1995

About this Item

Describes 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. Series: Mathematical Surveys and Monographs. Num Pages: 198 pages. BIC Classification: PB. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Weight in Grams: 384. . 1995. 5th. Paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780821815113

Bibliographic Details

• Title: Fixed points and topological degree in nonlinear analysis (Mathematical Surveys and Monographs)
• Publisher: American Mathematical Society
• Publication Date: 1995
• Language: English
• ISBN 10: 0821815113
• ISBN 13: 9780821815113
• Binding: Soft cover
• Edition: 5th or later Edition
• Condition: New

About this title

Synopsis

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.