Two Point Boundary Value Problems Lower And Upper Solutions
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Two Point Boundary Value Problems Lower And Upper Solutions
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Author : C. De Coster
language : en
Publisher: Elsevier
Release Date : 2006-03-21
Two Point Boundary Value Problems Lower And Upper Solutions written by C. De Coster and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-21 with Mathematics categories.
This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. · Presents the fundamental features of the method · Construction of lower and upper solutions in problems · Working applications and illustrated theorems by examples · Description of the history of the method and Bibliographical notes
Nonlinear Two Point Boundary Value Problems
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Author : Bailey
language : en
Publisher: Academic Press
Release Date : 1968
Nonlinear Two Point Boundary Value Problems written by Bailey and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Computers categories.
Nonlinear Two Point Boundary Value Problems
Numerical Solution Of Two Point Boundary Value Problems
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Author : Herbert B. Keller
language : en
Publisher: SIAM
Release Date : 1976-01-01
Numerical Solution Of Two Point Boundary Value Problems written by Herbert B. Keller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.
Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.
Numerical Methods For Two Point Boundary Value Problems
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Author : Herbert B. Keller
language : en
Publisher: Courier Dover Publications
Release Date : 2018-11-14
Numerical Methods For Two Point Boundary Value Problems written by Herbert B. Keller and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-14 with Mathematics categories.
Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.
Two Point Boundary Value Problems Shooting Methods
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Author : Sanford M. Roberts
language : en
Publisher: Elsevier Publishing Company
Release Date : 1972
Two Point Boundary Value Problems Shooting Methods written by Sanford M. Roberts and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Boundary value problems categories.
Global Solution Branches Of Two Point Boundary Value Problems
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Author : Renate Schaaf
language : en
Publisher: Springer
Release Date : 2006-12-08
Global Solution Branches Of Two Point Boundary Value Problems written by Renate Schaaf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
The book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. By examining the so-called time maps of the problem the shape of these curves is obtained which in turn leads to information about the number of solutions, the dimension of their unstable manifolds (regarded as stationary solutions of the corresponding parabolic prob- lem) as well as possible orbit connections between them. The methods used also yield results for the period map of certain Hamiltonian systems in the plane. The book will be of interest to researchers working in ordinary differential equations, partial differential equations and various fields of applications. By virtue of the elementary nature of the analytical tools used it can also be used as a text for undergraduate and graduate students with a good background in the theory of ordinary differential equations.
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.
Differential Equations Chaos And Variational Problems
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Author : Vasile Staicu
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12
Differential Equations Chaos And Variational Problems written by Vasile Staicu 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 2008-03-12 with Mathematics categories.
This collection of original articles and surveys written by leading experts in their fields is dedicated to Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday. The volume brings the reader to the border of research in differential equations, a fast evolving branch of mathematics that, besides being a main subject for mathematicians, is one of the mathematical tools most used both by scientists and engineers.
Nonlinear Interpolation And Boundary Value Problems
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Author : Paul W. Eloe
language : en
Publisher: World Scientific
Release Date : 2016
Nonlinear Interpolation And Boundary Value Problems written by Paul W. Eloe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
"This book is devoted to the study of solutions of nonlinear ODE boundary value problems as nonlinear interpolation problems. In 1967, Lasota and Opial showed that, under suitable hypotheses, if solutions of a second-order nonlinear differential equation passing through two distinct points are unique, when they exist, then, in fact, a solution passing through two distinct points does exist. That result, coupled with the pioneering work of Philip Hartman on what was then called unrestricted n-parameter families has stimulated 50 years of rapid development in the study of solutions of boundary value problems as nonlinear interpolation problems. The purpose of this book is two-fold. First, the results that have been generated in the past 50 years are collected for the first time to produce a comprehensive and coherent treatment of what is now a well-defined area of study in the qualitative theory of ordinary differential equations. Second, methods and technical tools are sufficiently exposed so that the interested reader can contribute to the study of nonlinear interpolation"--
High Order Two Point Boundary Value Problems
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Author : Samaher M. Yasein
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-02
High Order Two Point Boundary Value Problems written by Samaher M. Yasein and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with categories.
The aim of this book is to present method for solving higher order non - linear two point boundary value problems for ordinary differential equations of the different kinds of the boundary conditions, we propose semi-analytic technique using repeated interpolation to construct polynomial solution. Also, we discussion the existence and uniqueness of solutions. Many examples are presented to demonstrate the applicability, accuracy and efficiency of the methods on one hand and to confirm the convergence on the other hand.