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Nonlinear Interpolation and Boundary Value Problems Hardback - 2016
by W Eloe And Johnny Henderson,
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Details
- Title Nonlinear Interpolation and Boundary Value Problems
- Author W Eloe And Johnny Henderson,
- Binding Hardback
- Condition New
- Pages 248
- Volumes 1
- Language ENG
- Publisher World Scientific Publishing Company
- Publication date 2016-01-10
- Features Bibliography, Index
- Bookseller's Inventory # BIBNNA-93482
- ISBN 9789814733472 / 9814733474
- Weight 1.3 lbs (0.59 kg)
- Dimensions 9.1 x 6.1 x 0.9 in (23.11 x 15.49 x 2.29 cm)
- Category Mathematics
- Library of Congress subjects Differential equations, Boundary value problems
- Library of Congress Catalogue Number 2015040530
- Dewey Decimal Code 515.35
- Quantity available 1
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From the publisher
From the jacket flap
This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation. In 1967, Andrzej Lasota and Zdzisaw 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 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.
