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Contributions to Nonlinear Functional Analysis
Author: Eduardo H. Zarantonello
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 687
ISBN-13: 1483266621
DOWNLOAD EBOOK →Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree and an application to a nonlinear elliptic boundary value problem. The discussion then turns to the use of degree theory to prove the existence of global continua of solutions of nonlinear eigenvalue problems; transversality in nonlinear eigenvalue problems; and how variational structure can be used to study some local questions in bifurcation theory. Subsequent chapters deal with the notion of monotone operators and monotonicity theory; a nonlinear version of the Hille-Yosida theorem; a version of the penalty method for the Navier-Stokes equations; and various types of weak solutions for minimizing problems in the spirit of duality theory for convex functionals. This monograph will be of interest to students and practitioners in the field of mathematics who want to learn more about nonlinear functional analysis.
Contributions to Nonlinear Functional Analysis
CONTRIBUTIONS TO NONLINEAR FUNCTIONAL ANALYSIS- PROCEEDINGS OF A SYMPOSIUM- MATHEMATICS RESEARCH CENTER UNIVERSITY OF WISCONSIN PUB
Nonlinear Functional Analysis: A First Course
Author: S. Kesavan
Publisher: Springer Nature
Published: 2022-06-04
Total Pages: 161
ISBN-13: 9811663475
DOWNLOAD EBOOK →The book discusses the basic theory of topological and variational methods used in solving nonlinear equations involving mappings between normed linear spaces. It is meant to be a primer of nonlinear analysis and is designed to be used as a text or reference book by graduate students. Frechet derivative, Brouwer fixed point theorem, Borsuk's theorem, and bifurcation theory along with their applications have been discussed. Several solved examples and exercises have been carefully selected and included in the present edition. The prerequisite for following this book is the basic knowledge of functional analysis and topology.
Contributions to Nonlinear Functional Analysis : Proceedings of a Symposium, Held at the University of Wisconsin, Madison, April 1971
Nonlinear Functional Analysis
Author: Jacob T. Schwartz
Publisher: CRC Press
Published: 1969
Total Pages: 248
ISBN-13: 9780677015002
DOWNLOAD EBOOK →Nonlinear Functional Analysis and Its Applications
Author: S.P. Singh
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 408
ISBN-13: 9400946325
DOWNLOAD EBOOK →A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, 1985. This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute. The papers have been refereed. The aim of these lectures was to bring together recent and up-to-date development of the subject, and to give directions for future research. The main topics covered include: degree and generalized degree theory, results related to Hamiltonian Systems, Fixed Point theory, linear and nonlinear Differential and Partial Differential Equations, Theory of Nielsen Numbers, and applications to Dynamical Systems, Bifurcation Theory, Hamiltonian Systems, Minimax Theory, Heat Equations, Pendulum Equation, Nonlinear Boundary Value Problems, and Dirichlet and Neumann problems for elliptic equations and the periodic Dirichlet problem for semilinear beam equations. I express my sincere thanks to Professors F. E. Browder, R. Conti, A. Do1d, D. E. Edmunds and J. Mawhin members of the Advisory Committee.
Spectral Theory and Nonlinear Functional Analysis
Author: Julian Lopez-Gomez
Publisher: CRC Press
Published: 2001-03-28
Total Pages: 281
ISBN-13: 1420035509
DOWNLOAD EBOOK →This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.
Nonlinear Functional Analysis
Author: Klaus Deimling
Publisher: Courier Corporation
Published: 2013-10-09
Total Pages: 466
ISBN-13: 0486132358
DOWNLOAD EBOOK →This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.
