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Nonlinear Interpolation And Boundary Value Problems

Af: Paul W Eloe, Johnny L Henderson Engelsk Hardback

Nonlinear Interpolation And Boundary Value Problems

Af: Paul W Eloe, Johnny L Henderson Engelsk Hardback
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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 Zdzisław 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.

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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 Zdzisław 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.

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Produktdetaljer
Sprog: Engelsk
Sider: 248
ISBN-13: 9789814733472
Indbinding: Hardback
Udgave:
ISBN-10: 9814733474
Kategori: Differentialregning & ligninger
Udg. Dato: 24 feb 2016
Længde: 22mm
Bredde: 235mm
Højde: 162mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 24 feb 2016
Forfatter(e): Paul W Eloe, Johnny L Henderson
Forfatter(e) Paul W Eloe, Johnny L Henderson

Kategori Differentialregning & ligninger

ISBN-13 9789814733472

Sprog Engelsk

Indbinding Hardback

Sider 248

Udgave

Længde 22mm

Bredde 235mm

Højde 162mm

Udg. Dato 24 feb 2016

Oplagsdato 24 feb 2016

Forlag World Scientific Publishing Co Pte Ltd