Nonlinear Interpolation And Boundary Value Problems

Paul W Eloe (Univ Of Dayton, Usa), Johnny L Henderson (Baylor Univ, Usa)

$190.99

Hardback

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English

World Scientific Publishing Co Pte Ltd
31 December 2015

Differential calculus & equations; Non-linear science

Series: Trends in Abstract and Applied Analysis

Summary
Details

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 Zdzislaw 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.

By: Paul W Eloe (Univ Of Dayton Usa), Johnny L Henderson (Baylor Univ, Usa)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 2
Dimensions: Height: 231mm, Width: 155mm, Spine: 23mm
Weight: 590g
ISBN: 9789814733472
ISBN 10: 9814733474
Series: Trends in Abstract and Applied Analysis
Pages: 248
Publication Date: 31 December 2015
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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Nonlinear Interpolation And Boundary Value Problems

Paul W Eloe (Univ Of Dayton, Usa), Johnny L Henderson (Baylor Univ, Usa)

$190.99

Hardback

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