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Nonlinear Interpolation And Boundary Value Problems
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kr 217
Nonlinear Interpolation And Boundary Value Problems

 

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.

Produktdetaljer
Sprog: Engelsk
Sider: 248
ISBN-13: 9789814733472
Indbinding: Hardback
Udgave:
ISBN-10: 9814733474
Udg. Dato: 24 feb 2016
Længde: 22mm
Bredde: 162mm
Højde: 235mm
Oplagsdato: 24 feb 2016
Forfatter(e) Johnny L. Henderson, Paul W. Eloe, Johnny L Henderson, Paul W Eloe


Kategori Differentialregning & ligninger


Sprog Engelsk


Indbinding Hardback


Sider 248


Udgave


Længde 22mm


Bredde 162mm


Højde 235mm

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