Recueil factice d'articles de presse concernant Léontine Bouchetal
Title | Recueil factice d'articles de presse concernant Léontine Bouchetal PDF eBook |
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Contributions to Nonlinear Functional Analysis
Title | Contributions to Nonlinear Functional Analysis PDF eBook |
Author | Eduardo H. Zarantonello |
Publisher | Academic Press |
Total Pages | 687 |
Release | 2014-05-10 |
Genre | Mathematics |
ISBN | 1483266621 |
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
Title | Contributions to Nonlinear Functional Analysis PDF eBook |
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Total Pages | 0 |
Release | 1971 |
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Spectral Theory and Nonlinear Functional Analysis
Title | Spectral Theory and Nonlinear Functional Analysis PDF eBook |
Author | Julian Lopez-Gomez |
Publisher | CRC Press |
Total Pages | 281 |
Release | 2001-03-28 |
Genre | Mathematics |
ISBN | 1420035509 |
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: A First Course
Title | Nonlinear Functional Analysis: A First Course PDF eBook |
Author | S. Kesavan |
Publisher | Springer Nature |
Total Pages | 161 |
Release | 2022-06-04 |
Genre | Mathematics |
ISBN | 9811663475 |
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.
Nonlinear Functional Analysis
Title | Nonlinear Functional Analysis PDF eBook |
Author | Jacob T. Schwartz |
Publisher | CRC Press |
Total Pages | 248 |
Release | 1969 |
Genre | Mathematics |
ISBN | 9780677015002 |
Nonlinear Functional Analysis
Title | Nonlinear Functional Analysis PDF eBook |
Author | Klaus Deimling |
Publisher | Courier Corporation |
Total Pages | 466 |
Release | 2013-10-09 |
Genre | Mathematics |
ISBN | 0486132358 |
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.