Foundations of Global Non-linear Analysis
Author : Richard S. Palais
Publisher :
Page : 420 pages
File Size : 46,3 MB
Release : 1966
Category : Algebras, Linear
ISBN :
Nonlinear Analysis
Author : Themistocles M Rassias
Publisher : World Scientific
Page : 571 pages
File Size : 30,81 MB
Release : 1988-01-01
Category : Mathematics
ISBN : 9814513652
Book Description
Contents: Fixed Point Theory and Nonlinear Problems (Th Rassias)Global Linearization Iterative Methods and Nonlinear Partial Differential Equations III (M Altman)On Generalized Power Series and Generalized Operational Calculus and Its Application (M Al-Bassam)Multiple Solutions to Parametrized Nonlinear Differential Systems from Nielsen Fixed Point Theory (R Brown)The topology of Ind-Affine Sets (P Cherenack)Almost Approximately Polynomial Functions (P Cholewa)Cohomology Classes and Foliated Manifolds (M Craioveanu & M Puta)Bifurcation and Nonlinear Instability in Applied Mathematics (L Debnath)The Stability of Weakly Additive Functional (H Drljevic)Index Theory for G-Bundle Pairs with Applications to Borsuk-Ulam Type Theorems for G-Sphere Bundles (E Fadell & S Husseini)Nonlinear Approximation and Moment Problem (J S Hwang & G D Lin)Periods in Equicontinuous Topological Dynamical Systems (A Iwanik et al.)Continuation Theorems for Semi-Linear Equations in Banach Spaces: A Survey (J Mawhin & K Rybakowski)On Contractifiable Self-Mappings (P Meyers)Normal Structures and Nonexpansive Mappings in Banach Spaces (J Nelson et al.): Survey on Uniqueness and Classification Theorems for Minimal Surfaces (Th Rassias)Contractive Definitions (B Rhoades)On KY Fan's Theorem and Its Applications (S Singh)Fixed Points of Amenable Semigroups of Differentiable Operators (P Soardi)Research Problems on Nonlinear Equations (Th Rassias) Readership: Mathematicians and applied scientists. Keywords:Nonlinear Analysis;Nonlinear Partial Differential Equations III;Polynomial Functions;Cohomology Classes;Foliated Manifolds;Topological Dynamical Systems;Minimal Surfaces;Differentiable Operators;Nonlinear Equations
Global Analysis on Open Manifolds
Author : Jürgen Eichhorn
Publisher : Nova Publishers
Page : 664 pages
File Size : 44,57 MB
Release : 2007
Category : Mathematics
ISBN : 9781600215636
Book Description
Global analysis is the analysis on manifolds. Since the middle of the sixties there exists a highly elaborated setting if the underlying manifold is compact, evidence of which can be found in index theory, spectral geometry, the theory of harmonic maps, many applications to mathematical physics on closed manifolds like gauge theory, Seiberg-Witten theory, etc. If the underlying manifold is open, i.e. non-compact and without boundary, then most of the foundations and of the great achievements fail. Elliptic operators are no longer Fredholm, the analytical and topological indexes are not defined, the spectrum of self-adjoint elliptic operators is no longer discrete, functional spaces strongly depend on the operators involved and the data from geometry, many embedding and module structure theorems do not hold, manifolds of maps are not defined, etc. It is the goal of this new book to provide serious foundations for global analysis on open manifolds, to discuss the difficulties and special features which come from the openness and to establish many results and applications on this basis.
Encyclopedic Dictionary of Mathematics
Author : Nihon Sūgakkai
Publisher : MIT Press
Page : 1180 pages
File Size : 20,97 MB
Release : 1993
Category : Mathematics
ISBN : 9780262590204
Book Description
V.1. A.N. v.2. O.Z. Apendices and indexes.
Topics in Nonlinear Analysis & Applications
Author : Donald H. Hyers
Publisher : World Scientific
Page : 724 pages
File Size : 36,39 MB
Release : 1997
Category : Mathematics
ISBN : 9789810225346
Book Description
This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications. Emphasis is given to several recent results which have been obtained mainly during the last years and which cannot be found in other books in Nonlinear Analysis. Interest in this subject area has rapidly increased over the last decade, yet the presentation of research has been confined mainly to journal articles.
Nonlinear Analysis and Continuum Mechanics
Author : Giuseppe Butazzo
Publisher : Springer Science & Business Media
Page : 149 pages
File Size : 38,58 MB
Release : 2012-12-06
Category : Science
ISBN : 146122196X
Book Description
The chapters in this volume deal with four fields with deep historical roots that remain active areas reasearch: partial differential equations, variational methods, fluid mechanics, and thermodynamics. The collection is intended to serve two purposes: First, to honor James Serrin, in whose work the four fields frequently interacted; and second, to bring together work in fields that are usually pursued independently but that remain remarkably interrelated. Serrin's contributions to mathematical analysis and its applications are fundamental and include such theorems and methods as the Gilbarg- Serrin theorem on isoated singularities, the Serrin symmetry theorem, the Alexandrov-Serrin moving-plane technique, The Peletier-Serrin uniqueness theorem, and the Serrin integal of the calculus of variations. Serrin has also been noted for the elegance of his mathematical work and for the effectiveness of his teaching and collaborations.
Nonlinear Functional Analysis
Author : Felix E. Browder
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 29,11 MB
Release : 1970
Category : Mathematics
ISBN : 0821802437
Book Description
Nonlinear Functional Analysis
Author : P. S. Milojevic
Publisher : CRC Press
Page : 284 pages
File Size : 28,63 MB
Release : 1989-09-28
Category : Mathematics
ISBN : 9780824782559
Book Description
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.
Linear and Non-linear Numerical Analysis of Foundations
Author : John W. Bull
Publisher : CRC Press
Page : 465 pages
File Size : 35,83 MB
Release : 2009-02-02
Category : Architecture
ISBN : 0203887778
Book Description
Correctly understanding, designing and analyzing the foundations that support structures is fundamental to their safety. This book by a range of academic, design and contracting world experts provides a review of the state-of-the-art techniques for modelling foundations using both linear and non linear numerical analysis. It applies to a range of infrastructure, civil engineering and structural engineering projects and allows designers, engineers, architects, researchers and clients to understand some of the advanced numerical techniques used in the analysis and design of foundations. Topics include: Ground vibrations caused by trains Pile-group effects Bearing capacity of shallow foundations under static and seismic conditions Bucket foundation technology for offshore oilfields Seismically induced liquefaction in earth embankment foundations and in pile foundations Free vibrations of industrial chimneys and TV towers with flexibility of the soil Settlements of high rise structures Seepage, stress fields and dynamic responses in dams Site investigation
Differential Analysis in Infinite Dimensional Spaces
Author : Kondagunta Sundaresan
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 50,62 MB
Release : 1986
Category : Mathematics
ISBN : 0821850598
Book Description
Focuses on developments made in the field of differential analysis in infinite dimensional spaces. This work covers a range of topics including gauge theories, polar subsets, approximation theory, group analysis of partial differential equations, inequalities and actions on infinite groups.
