On Lambda Nonlinear Boundary Eigenvalue Problems

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On Lambda Nonlinear Boundary Eigenvalue Problems

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Author : Christiane Tretter
language : en
Publisher: Wiley-VCH
Release Date : 1993-09

On Lambda Nonlinear Boundary Eigenvalue Problems written by Christiane Tretter and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09 with Mathematics categories.

This book discusses nonselfadjoint (Lambda)-nonlinear boundary eigenvalue problems for ordinary differential equations. Asymptotic boundary conditions for uniform convergence of generalized eigenfunction expansions are given by a recursion and expansion theorems are established by a careful analytic study of the asymptotic behaviour of Green's function. The theory is illustrated by various examples from technical mechanics.

A Nonlinear Boundary Value Problem Of Sturm Liouville Type For A Two Dimensional System Of Ordinary Differential Equations

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Author : Paul Waltman
language : en
Publisher:
Release Date : 1970

A Nonlinear Boundary Value Problem Of Sturm Liouville Type For A Two Dimensional System Of Ordinary Differential Equations written by Paul Waltman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.

In this report the authors consider the boundary value problem P sub lambda: x'=f(t, x, y, lambda), y'=g(t, x, y, lambda), A sub 1 y(a)+A sub 2 y'(a)=0, B sub 1 y(b)+B sub 2 y'(b)=0. x(t) and y(t) are scalar functions for t epsilon (a, b), (A sub 1)squared + (A sub 2)squared> zero, (B sub 1)squared +(B sub 2)squared> zero. Values of the parameter lambda (eigenvalues) are sought for which there exists a nontrivial solution of P sub lambda. Two existence theorems are established and these are applied in several situations previously studied. In particular, one theorem applies to a model of a nonlinear vibrating string. (Author).

An Introduction To Nonlinear Boundary Value Problems

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Author : Lakshmikantham
language : en
Publisher: Academic Press
Release Date : 1974-05-31

An Introduction To Nonlinear Boundary Value Problems written by Lakshmikantham and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-05-31 with Computers categories.

A book on an advanced level that exposes the reader to the fascinating field of differential equations and provides a ready access to an up-to-date state of this art is of immense value. This book presents a variety of techniques that are employed in the theory of nonlinear boundary value problems. For example, the following are discussed: methods that involve differential inequalities; shooting and angular function techniques; functional analytic approaches; topological methods.

Homotopy Analysis Method In Nonlinear Differential Equations

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Author : Shijun Liao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-22

Homotopy Analysis Method In Nonlinear Differential Equations written by Shijun Liao 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 2012-06-22 with Mathematics categories.

"Homotopy Analysis Method in Nonlinear Differential Equations" presents the latest developments and applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method (HAM). Unlike perturbation methods, the HAM has nothing to do with small/large physical parameters. In addition, it provides great freedom to choose the equation-type of linear sub-problems and the base functions of a solution. Above all, it provides a convenient way to guarantee the convergence of a solution. This book consists of three parts. Part I provides its basic ideas and theoretical development. Part II presents the HAM-based Mathematica package BVPh 1.0 for nonlinear boundary-value problems and its applications. Part III shows the validity of the HAM for nonlinear PDEs, such as the American put option and resonance criterion of nonlinear travelling waves. New solutions to a number of nonlinear problems are presented, illustrating the originality of the HAM. Mathematica codes are freely available online to make it easy for readers to understand and use the HAM. This book is suitable for researchers and postgraduates in applied mathematics, physics, nonlinear mechanics, finance and engineering. Dr. Shijun Liao, a distinguished professor of Shanghai Jiao Tong University, is a pioneer of the HAM.

A Class Of Nonlinear Eigenvalue Problems

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Author : Robert E. L. Turner
language : en
Publisher:
Release Date : 1967

A Class Of Nonlinear Eigenvalue Problems written by Robert E. L. Turner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Eigenvalues categories.

The report considers the nonlinear eigenvalue problem (A - B(lambda))x = 0 in a Hilbert space, where A = or> 0 is compact and B(lambda) is a polynomial with nonnegative operator coefficients, satisfying B(0) = 0. It is shown that if A and B(lambda) are in certain operator classes, then there exists an unconditional basis of the Hilbert space consisting of eigenvectors x corresponding to nonnegative eigenvalues lambda. It is also shown that the nonnegative eigenvalues can be characterized by variational principles. (Author).

N Lambda 2014

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Author :
language : en
Publisher:
Release Date : 2014

N Lambda 2014 written by 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.

Numerical Solution Of Nonlinear Boundary Value Problems With Applications

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Author : Milan Kubicek
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01

Numerical Solution Of Nonlinear Boundary Value Problems With Applications written by Milan Kubicek and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.

A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.

Non Linear Eigenvalue Problems For Some Fourth Order Equations Ii Fixed Point Methods

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Author : Seymour V. Parter
language : en
Publisher:
Release Date : 1969

Non Linear Eigenvalue Problems For Some Fourth Order Equations Ii Fixed Point Methods written by Seymour V. Parter 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.

Fixed-point theorems are applied to obtain solutions (u sub k(t), theta sub k(t)) of nonlinear fourth order ordinary differential equations of the form u double prime = lambda theta (H sub 1)(t, u, theta), theta double prime = lambda u (H sub 2)(t, u, theta). The solution (u sub k(t), theta sub k(t)) is distinguished by the fact that each function (u sub k(t) or theta sub k(t) has exactly k interior nodal zeros. The basic conditions implying these existence theorems is lambda sub k

Quasilinearization And Nonlinear Boundary Value Problems

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Author : Richard Bellman
language : en
Publisher:
Release Date : 1965

Quasilinearization And Nonlinear Boundary Value Problems written by Richard Bellman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Boundary value problems categories.

Constructive Methods For Linear And Nonlinear Boundary Value Problems For Analytic Functions

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Author : v Mityushev
language : en
Publisher: CRC Press
Release Date : 1999-11-29

Constructive Methods For Linear And Nonlinear Boundary Value Problems For Analytic Functions written by v Mityushev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-29 with Mathematics categories.

Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for boundary value problems, both linear and nonlinear. From among the many applications to which these methods can apply, the authors focus on interesting problems associated with composite materials with a finite number of inclusions. How far can one go in the solutions of problems in nonlinear mechanics and physics using the ideas of analytic functions? What is the difference between linear and nonlinear cases from the qualitative point of view? What kinds of additional techniques should one use in investigating nonlinear problems? Constructive Methods for Linear and Nonlinear Boundary Value Problems serves to answer these questions, and presents many results to Westerners for the first time. Among the most interesting of these is the complete solution of the Riemann-Hilbert problem for multiply connected domains. The results offered in Constructive Methods for Linear and Nonlinear Boundary Value Problems are prepared for direct application. A historical survey along with background material, and an in-depth presentation of practical methods make this a self-contained volume useful to experts in analytic function theory, to non-specialists, and even to non-mathematicians who can apply the methods to their research in mechanics and physics.