Nonlinear Interpolation And Boundary Value Problems

Nonlinear Interpolation And Boundary Value Problems

AngličtinaEbook
Paul W Eloe, Eloe
World Scientific Publishing Company
EAN: 9789814733489
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4 444 Kč
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Podrobné informace

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.
EAN 9789814733489
ISBN 9814733482
Typ produktu Ebook
Vydavatel World Scientific Publishing Company
Datum vydání 31. prosince 2015
Stránky 248
Jazyk English
Země Singapore
Autoři Johnny L Henderson, Henderson; Paul W Eloe, Eloe
Série Trends In Abstract And Applied Analysis
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