The Critical Parameter Of A Non Linear Eigenvalue Problem

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The Critical Parameter Of A Non Linear Eigenvalue Problem

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Author : John Malcolm Heath
language : en
Publisher:
Release Date : 1972

The Critical Parameter Of A Non Linear Eigenvalue Problem written by John Malcolm Heath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Eigenvalues categories.

Bounds For The Critical Parameter Of Nonlinear Eigenvalue Problems

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Author : Heinrich Voss
language : en
Publisher:
Release Date : 1979

Bounds For The Critical Parameter Of Nonlinear Eigenvalue Problems written by Heinrich Voss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

Prediction Of Critical Boundaries In Two Parameter Nonlinear Eigenvalue Problems

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Author : Jacques Huitfeldt
language : en
Publisher:
Release Date : 1992

Prediction Of Critical Boundaries In Two Parameter Nonlinear Eigenvalue Problems written by Jacques Huitfeldt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.

Eigenvalues Of Non Linear Problems

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Author : G. Prodi
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-02

Eigenvalues Of Non Linear Problems written by G. Prodi 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 2011-06-02 with Mathematics categories.

H. Amann: Nonlinear eigenvalue problems in ordered Banach spaces.- P.C. Fife: Branching phenomena in fluid dynamics and chemical reaction-diffusion theory.- W. Klingenberg: The theory of closed geodesics.- P. Rabinowitz: Variational methods for nonlinear eigenvalue problems.- M. Reeken: Existence of solutions to the Hartree-Fock equations.- R. Turner: Positive solutions of nonlinear eigenvalue problems.

Eigenvalues Of Non Linear Problems

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Author : Giovanni Prodi
language : en
Publisher:
Release Date : 1974

Eigenvalues Of Non Linear Problems written by Giovanni Prodi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Differential equations, Partial categories.

Nonlinear Eigenvalue Problems With The Parameter Near Resonance

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Author : J. Mawhin
language : en
Publisher:
Release Date : 1988

Nonlinear Eigenvalue Problems With The Parameter Near Resonance written by J. Mawhin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Eigenvalue Problems With Nonlinear Dependence On The Eigenvalue Parameter

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Author :
language : en
Publisher:
Release Date : 1974

Eigenvalue Problems With Nonlinear Dependence On The Eigenvalue Parameter written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.

Nonlinear Multi Parameter Eigenvalue Problems For Systems Of Nonlinear Ordinary Differential Equations Arising In Electromagnetics

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Author : Lutz Angermann
language : en
Publisher:
Release Date : 2014

Nonlinear Multi Parameter Eigenvalue Problems For Systems Of Nonlinear Ordinary Differential Equations Arising In Electromagnetics written by Lutz Angermann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

Quadratic Eigenvalue Problems From A Nonlinear Structural Analysis

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Author : W. Nachbar
language : en
Publisher:
Release Date : 1971

Quadratic Eigenvalue Problems From A Nonlinear Structural Analysis written by W. Nachbar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.

In application of the previously developed modified structure method to the study of the nonlinear behavior of continuous elastic structures, including bifurcation and snap-through, one is generally led to an eigenvalue problem in which the enigen-parameter appears quadratically in the coeffieicnts of a linear differential equation. In the present study, the elementary example of a fixed-free column loaded both axially and laterally is considered as a continuum problem, an approach possible within the scope of the modified structure method. Earlier studies of this problem in finite element formulation showed non-existence of an eigenvalue for very slender columns. The present paper investigates the question of existence of a positive eigenvalue in a hierarchy of linearized quadratic eigenvalue problems which result from the retention of higher-order terms in the expansion of the potential energy functional. Non-existence of eigenvalues for columns of sufficiently high slenderness ratio rho is shown, and the Rayleigh Quotient method is used to bound the eigenvalue and give an approximation to the critical value of rho. (Author).

Nonlinear Stability And Bifurcation Theory

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Author : Hans Troger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Stability And Bifurcation Theory written by Hans Troger 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 Science categories.

Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlin ear problems has been either avoided completely or is confined to special courses where a great number of different ad-hoc methods are presented. The wide-spread believe that no straightforward solution procedures for nonlinear problems are available prevails even today in engineering cir cles. Though in some courses it is indicated that in principle nonlinear problems are solveable by numerical methods the treatment of nonlinear problems, more or less, is considered to be an art or an intellectual game. A good example for this statement was the search for Ljapunov functions for nonlinear stability problems in the seventies. However things have changed. At the beginning of the seventies, start ing with the work of V.1. Arnold, R. Thom and many others, new ideas which, however, have their origin in the work of H. Poincare and A. A. Andronov, in the treatment of nonlinear problems appeared. These ideas gave birth to the term Bifurcation Theory. Bifurcation theory allows to solve a great class of nonlinear problems under variation of parameters in a straightforward manner.