NONLINEAR INTERPOLATION AND BOUNDARY VALUE PROBLEMS

Eloe Paul W

ISBN 10: 9814733474 / ISBN 13: 9789814733472

Editore: World Scientific, 2016

nach der Bestellung gedruckt Neuware - Printed after ordering - 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 Zdzis¿aw 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. Codice articolo 9789814733472

Riassunto:

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.

Recensione: The purpose of the book seems to be two-fold. First, the results that have been generated during the last 50 years are collected and presented systematically. Second, methods and technical details are sufficiently exposed for future researchers to contribute further on non-linear BVPs. This book is unique in its kind and, together with Agarwal's book, [Boundary Value Problems for Higher Order Differential Equations, World Scientific, 1986], covers all the major aspects of BVPs for non-linear differential equations satisfying boundary conditions. --Mathematical Reviews Clippings

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Titolo: NONLINEAR INTERPOLATION AND BOUNDARY VALUE ...
Casa editrice: World Scientific
Data di pubblicazione: 2016
Legatura: Buch
Condizione: Neu