Bifurcation Theory And Nonlinear Eigenvalue Problems 1967
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Bifurcation Theory And Nonlinear Eigenvalue Problems
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Author : Courant Institute of Mathematical Sciences
language : en
Publisher:
Release Date : 1969
Bifurcation Theory And Nonlinear Eigenvalue Problems written by Courant Institute of Mathematical Sciences and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Bifurcation theory categories.
Bifurcation Theory And Nonlinear Eigenvalue Problems
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Author : Joseph B. Keller
language : en
Publisher:
Release Date : 1969
Bifurcation Theory And Nonlinear Eigenvalue Problems written by Joseph B. Keller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
Bifurcation Theory And Nonlinear Eigenvalue
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Author : Joseph B. Keller
language : en
Publisher:
Release Date : 1968
Bifurcation Theory And Nonlinear Eigenvalue written by Joseph B. Keller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Bifurcation theory categories.
Methods Of Bifurcation Theory
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Author : S.-N. Chow
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Methods Of Bifurcation Theory written by S.-N. Chow and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To accomplish this objective and to make the book accessible to a wider we have presented in detail much of the relevant background audience, material from nonlinear functional analysis and the qualitative theory of differential equations. Since there is no good reference for some of the mate rial, its inclusion seemed necessary. Two distinct aspects of bifurcation theory are discussed-static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. If the function is a gradient, then variational techniques play an important role and can be employed effectively even for global problems. If the function is not a gradient or if more detailed information is desired, the general theory is usually local. At the same time, the theory is constructive and valid when several independent parameters appear in the function. In differential equations, the equilibrium solutions are the zeros of the vector field. Therefore, methods in static bifurcation theory are directly applicable.
Bifurcation Theory And Nonlinear Eigenvalue Problems Held During 1966 67
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Author : Stuart S. Antman
language : en
Publisher:
Release Date : 1969
Bifurcation Theory And Nonlinear Eigenvalue Problems Held During 1966 67 written by Stuart S. Antman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Bifurcation theory categories.
Linear Theories Of Elasticity And Thermoelasticity
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Author : Clifford Truesdell
language : en
Publisher: Springer
Release Date : 2013-12-17
Linear Theories Of Elasticity And Thermoelasticity written by Clifford Truesdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Technology & Engineering categories.
Nonlinear Problems Of Elasticity
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Author : Stuart Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Nonlinear Problems Of Elasticity written by Stuart Antman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
The scientists of the seventeenth and eighteenth centuries, led by Jas. Bernoulli and Euler, created a coherent theory of the mechanics of strings and rods undergoing planar deformations. They introduced the basic con cepts of strain, both extensional and flexural, of contact force with its com ponents of tension and shear force, and of contact couple. They extended Newton's Law of Motion for a mass point to a law valid for any deformable body. Euler formulated its independent and much subtler complement, the Angular Momentum Principle. (Euler also gave effective variational characterizations of the governing equations. ) These scientists breathed life into the theory by proposing, formulating, and solving the problems of the suspension bridge, the catenary, the velaria, the elastica, and the small transverse vibrations of an elastic string. (The level of difficulty of some of these problems is such that even today their descriptions are sel dom vouchsafed to undergraduates. The realization that such profound and beautiful results could be deduced by mathematical reasoning from fundamental physical principles furnished a significant contribution to the intellectual climate of the Age of Reason. ) At first, those who solved these problems did not distinguish between linear and nonlinear equations, and so were not intimidated by the latter. By the middle of the nineteenth century, Cauchy had constructed the basic framework of three-dimensional continuum mechanics on the founda tions built by his eighteenth-century predecessors.
Bifurcation Theory And Nonlinear Eigenvalue Problems Based On Lecture Notes From A Seminar Held 1966 67
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Author :
language : en
Publisher:
Release Date :
Bifurcation Theory And Nonlinear Eigenvalue Problems Based On Lecture Notes From A Seminar Held 1966 67 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Nonlinearity And Functional Analysis
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Author : Melvyn S. Berger
language : en
Publisher: Academic Press
Release Date : 1977-10-27
Nonlinearity And Functional Analysis written by Melvyn S. Berger and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-10-27 with Mathematics categories.
Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.
Bifurcation Theory Of Functional Differential Equations
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Author : Shangjiang Guo
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-30
Bifurcation Theory Of Functional Differential Equations written by Shangjiang Guo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-30 with Mathematics categories.
This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).