Foundations of Global Non-linear Analysis

Foundations of Global Non-linear Analysis PDF Author: Richard S. Palais
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 420

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Book Description

Foundations of Global Non-linear Analysis

Foundations of Global Non-linear Analysis PDF Author: Richard S. Palais
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 420

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Book Description


Nonlinear Analysis

Nonlinear Analysis PDF Author: Themistocles M Rassias
Publisher: World Scientific
ISBN: 9814513652
Category : Mathematics
Languages : en
Pages : 571

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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

Foundations of Global Non-linear Analysis

Foundations of Global Non-linear Analysis PDF Author: Richard S. Palais
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 154

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Book Description


Foundations of Global Nonlinear Analysis

Foundations of Global Nonlinear Analysis PDF Author: Themistocles M. Rassias
Publisher:
ISBN:
Category : Critical point theory (Mathematical analysis).
Languages : en
Pages : 234

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Book Description


Global Analysis on Open Manifolds

Global Analysis on Open Manifolds PDF Author: Jürgen Eichhorn
Publisher: Nova Publishers
ISBN: 9781600215636
Category : Mathematics
Languages : en
Pages : 664

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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

Encyclopedic Dictionary of Mathematics PDF Author: Nihon Sūgakkai
Publisher: MIT Press
ISBN: 9780262590204
Category : Mathematics
Languages : en
Pages : 1180

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Book Description
V.1. A.N. v.2. O.Z. Apendices and indexes.

Topics in Nonlinear Analysis & Applications

Topics in Nonlinear Analysis & Applications PDF Author: Donald H. Hyers
Publisher: World Scientific
ISBN: 9789810225346
Category : Mathematics
Languages : en
Pages : 724

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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

Nonlinear Analysis and Continuum Mechanics PDF Author: Giuseppe Butazzo
Publisher: Springer Science & Business Media
ISBN: 146122196X
Category : Science
Languages : en
Pages : 149

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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.

Linear and Non-linear Numerical Analysis of Foundations

Linear and Non-linear Numerical Analysis of Foundations PDF Author: John W. Bull
Publisher: CRC Press
ISBN: 0203887778
Category : Architecture
Languages : en
Pages : 465

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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

On the Regularity of the Composition of Diffeomorphisms

On the Regularity of the Composition of Diffeomorphisms PDF Author: H. Inci
Publisher: American Mathematical Soc.
ISBN: 0821887416
Category : Mathematics
Languages : en
Pages : 72

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Book Description
For M a closed manifold or the Euclidean space Rn we present a detailed proof of regularity properties of the composition of Hs-regular diffeomorphisms of M for s > 12dim⁡M+1.