Nonlinear Two Point Boundary Value Problems
Published on 14. May 2014
189 pages
978-0-08-095552-0 (ISBN)
Description
Nonlinear Two Point Boundary Value Problems
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095552-0 (9780080955520)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Paul B. Bailey | etc.
Nonlinear Two Point Boundary Value Problems
Book
06/1968
Academic Press
€60.66
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Content
- Front Cover
- Nonlinear Two Point Boundary Value Problems
- Copyright Page
- Contents
- Preface
- Chapter 1. Introduction
- 1. Kinds of Boundary Value Problems to Be Treated
- 2. The Generalized Lipschitz Condition
- 3. How Existence and Uniqueness Fail for Linear Boundary Value Problems
- 4. A Simple Nonlinear Boundary Value Problem
- 5. Standard Results concerning Initial Value Problems
- Comments and Bibliography
- Chapter 2. Relations between the First and Second Boundary Value Problems
- 1. Relation between Uniqueness Intervals
- 2. Relation between Existence Intervals
- Chapter 3. Picard's Iteration
- 1. Introduction
- 2. Contraction Mappings
- 3. Boundary Value Problems
- 4. A More General Lipschitz Condition
- 5. An Improved Error Bound for the Picard Iterates
- 6. Extensions
- Comments and Bibliography
- Chapter 4. The Distance between Zeros and the Uniqueness Interval
- 1. Introduction
- 2. The Connection between Uniqueness and the Zeros of Unforced Equations
- 3. Distance between Zeros for Unforced Equations
- Comments and Bibliography
- Chapter 5. Comparison Theorems
- 1. Introduction
- 2. Main Comparison Theorems
- 3. Comparison Theorems for Weak Differential Inequalities
- Comments and Bibliography
- Chapter 6. Principal Existence Theorems
- 1. Introduction
- 2. Solutions of the Comparison Problems
- 3. Existence Theorems
- Comments and Bibliography
- Chapter 7. Further Existence and Uniqueness Results
- 1. Introduction
- 2. Existence in the Nonsingular Case
- 3. Existence in the Singular Case
- 4. A General Uniqueness Theorem
- 5. Illustrative Examples
- Comments and Bibliography
- Chapter 8. Numerical Solution by Initial Value Methods
- 1. Introduction
- 2. A Convergence Criterion
- 3. Lipschitzian Problems
- Comments and Bibliography
- Chapter 9. Numerical Solution by Boundary Value Methods
- 1. Introduction
- 2. A Modified Picard Iteration
- 3. A Monotone Iteration
- 4. Newton's Method
- 5. Solution of Linear Problems by a Finite Difference Method
- 6. Some Illustrative Examples
- Comments and Bibliography
- Index
