Nonlinear Two Point Boundary Value Problems

Nonlinear Two Point Boundary Value Problems PDF Author: Bailey
Publisher: Academic Press
ISBN: 0080955525
Category : Computers
Languages : en
Pages : 190

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Book Description
Nonlinear Two Point Boundary Value Problems

Nonlinear Two Point Boundary Value Problems

Nonlinear Two Point Boundary Value Problems PDF Author: Bailey
Publisher: Academic Press
ISBN: 0080955525
Category : Computers
Languages : en
Pages : 190

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Book Description
Nonlinear Two Point Boundary Value Problems

Two-Point Boundary Value Problems: Lower and Upper Solutions

Two-Point Boundary Value Problems: Lower and Upper Solutions PDF Author: C. De Coster
Publisher: Elsevier
ISBN: 0080462472
Category : Mathematics
Languages : en
Pages : 502

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Book Description
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

Numerical Solution of Two Point Boundary Value Problems

Numerical Solution of Two Point Boundary Value Problems PDF Author: Herbert B. Keller
Publisher: SIAM
ISBN: 9781611970449
Category : Mathematics
Languages : en
Pages : 69

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Book Description
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

Numerical Methods for Two-Point Boundary-Value Problems PDF Author: Herbert B. Keller
Publisher: Courier Dover Publications
ISBN: 0486828344
Category : Mathematics
Languages : en
Pages : 417

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Book Description
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.

Introduction To Numerical Computation, An (Second Edition)

Introduction To Numerical Computation, An (Second Edition) PDF Author: Wen Shen
Publisher: World Scientific
ISBN: 9811204438
Category : Mathematics
Languages : en
Pages : 339

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Book Description
This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.

Numerical Solution of Nonlinear Boundary Value Problems with Applications

Numerical Solution of Nonlinear Boundary Value Problems with Applications PDF Author: Milan Kubicek
Publisher: Courier Corporation
ISBN: 0486463001
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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.

Nonlinear Interpolation and Boundary Value Problems

Nonlinear Interpolation and Boundary Value Problems PDF Author: Paul W. Eloe
Publisher: World Scientific
ISBN: 9814733482
Category : Mathematics
Languages : en
Pages : 249

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Book Description
"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"--

Singular Differential and Integral Equations with Applications

Singular Differential and Integral Equations with Applications PDF Author: R.P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 9401730040
Category : Mathematics
Languages : en
Pages : 412

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Book Description
In the last century many problems which arose in the science, engineer ing and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differ ential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general exis tence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990's new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This mono graph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela- Ascoli theorem and Banach's theorem are also stated here.

On a Nonlinear Two Point Boundary Value Problem

On a Nonlinear Two Point Boundary Value Problem PDF Author: Milton Lees
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 30

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Book Description


An Introduction to Nonlinear Boundary Value Problems

An Introduction to Nonlinear Boundary Value Problems PDF Author: Lakshmikantham
Publisher: Academic Press
ISBN: 0080956181
Category : Computers
Languages : en
Pages : 385

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Book Description
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.