Nonlinear functional analysis
Author | : J. Schwartz |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : |
ISBN | : |
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Author | : J. Schwartz |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : |
ISBN | : |
Author | : Jacob T. Schwartz |
Publisher | : |
Total Pages | : |
Release | : 1965 |
Genre | : Functional analysis |
ISBN | : |
Author | : Jacob Theodore Schwartz |
Publisher | : |
Total Pages | : 0 |
Release | : 1965 |
Genre | : Functional analysis |
ISBN | : |
Author | : Maxim Olegovich Korpusov |
Publisher | : World Scientific |
Total Pages | : 377 |
Release | : 2021-12-28 |
Genre | : Mathematics |
ISBN | : 981124894X |
This book is a systematic presentation of basic notions, facts, and ideas of nonlinear functional analysis and their applications to nonlinear partial differential equations. It begins from a brief introduction to linear functional analysis, including various types of convergence and functional spaces. The main part of the book is devoted to the theory of nonlinear operators. Various methods of the study of nonlinear differential equations based on the facts of nonlinear analysis are presented in detail. This book may serve as an introductory textbook for students and undergraduates specializing in modern mathematical physics.
Author | : Jacob T. Schwartz |
Publisher | : CRC Press |
Total Pages | : 248 |
Release | : 1969 |
Genre | : Mathematics |
ISBN | : 9780677015002 |
Author | : P. S. Milojevic |
Publisher | : CRC Press |
Total Pages | : 284 |
Release | : 1989-09-28 |
Genre | : Mathematics |
ISBN | : 9780824782559 |
This book is based on the lectures presented at the Special Session on Nonlinear Functional Analysis of the American Mathematical Society Regional Meeting, held at New Jersey Institute of Technology. It explores global invertibility and finite solvability of nonlinear differential equations.
Author | : S. Kesavan |
Publisher | : Springer |
Total Pages | : 188 |
Release | : 2004-01-15 |
Genre | : Mathematics |
ISBN | : 9386279215 |
Author | : L. Nirenberg |
Publisher | : American Mathematical Soc. |
Total Pages | : 159 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821828193 |
Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz global bifurcation theorem. Stability of the branches is also studied. The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. For more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
Author | : Felix E. Browder |
Publisher | : American Mathematical Soc. |
Total Pages | : 304 |
Release | : 1970 |
Genre | : Mathematics |
ISBN | : 0821802437 |
Author | : E. Zeidler |
Publisher | : Springer Science & Business Media |
Total Pages | : 675 |
Release | : 2013-12-11 |
Genre | : Science |
ISBN | : 146125020X |
As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.