Geometrical Methods of Nonlinear Analysis

Geometrical Methods of Nonlinear Analysis
Author :
Publisher : Springer
Total Pages : 0
Release :
ISBN-10 : 364269411X
ISBN-13 : 9783642694110
Rating : 4/5 (110 Downloads)

Book Synopsis Geometrical Methods of Nonlinear Analysis by : Alexander Krasnosel'skii

Download or read book Geometrical Methods of Nonlinear Analysis written by Alexander Krasnosel'skii and published by Springer. This book was released on 2011-11-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in existence proofs. Since about the fifties, these methods turned out to be essentially the sole approach to a variety of new problems: the investigation of iteration processes and other procedures in numerical analysis, in bifur cation problems and branching of solutions, estimates on the number of solutions and criteria for the existence of nonzero solutions, the analysis of the structure of the solution set, etc. These methods have been widely applied to the theory of forced vibrations and auto-oscillations, to various problems in the theory of elasticity and fluid. mechanics, to control theory, theoretical physics, and various parts of mathematics. At present, nonlinear analysis along with its geometrical, topological, analytical, variational, and other methods is developing tremendously thanks to research work in many countries. Totally new ideas have been advanced, difficult problems have been solved, and new applications have been indicated. To enumerate the publications of the last few years one would need dozens of pages. On the other hand, many problems of non linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences). We hope that the English edition of our book will contribute to the further propagation of the ideas of nonlinear analysis.


Geometrical Methods of Nonlinear Analysis Related Books

Geometrical Methods of Nonlinear Analysis
Language: en
Pages: 0
Authors: Alexander Krasnosel'skii
Categories: Mathematics
Type: BOOK - Published: 2011-11-18 - Publisher: Springer

DOWNLOAD EBOOK

Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in exi
Geometrical Methods of Nonlinear Analysis
Language: en
Pages: 440
Authors: Mark Aleksandrovich Krasnoselʹskiĭ
Categories: Mathematics
Type: BOOK - Published: 1984 - Publisher: Springer

DOWNLOAD EBOOK

Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in exi
Convex Analysis and Nonlinear Geometric Elliptic Equations
Language: en
Pages: 524
Authors: Ilya J. Bakelman
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Investigations in modem nonlinear analysis rely on ideas, methods and prob lems from various fields of mathematics, mechanics, physics and other applied science
Nonlinear Systems Analysis
Language: en
Pages: 515
Authors: M. Vidyasagar
Categories: Mathematics
Type: BOOK - Published: 2002-01-01 - Publisher: SIAM

DOWNLOAD EBOOK

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since th
Some Nonlinear Problems in Riemannian Geometry
Language: en
Pages: 414
Authors: Thierry Aubin
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book deals with such important subjects as variational methods, the continuity method, parabolic equations on fiber bundles, ideas concerning points of con