Nonlinear Interpolation And Boundary Value Problems

Paul W Eloe, Johnny L Henderson (Autoren)

Buch | Hardcover

248 Seiten

2016
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4733-47-2 (ISBN)

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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.

Compactness Criterion for Solutions of Nonlinear Differential Equations; Conjugate and Right Focal Boundary Value Problems; Nonlocal Boundary Value Problems; Boundary Value Problems for Finite Difference Equations; Boundary Value Problems for Dynamic Equations on Time Scales;

Erscheinungsdatum	29.02.2016
Reihe/Serie	Trends in Abstract and Applied Analysis ; 2
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
ISBN-10	981-4733-47-4 / 9814733474
ISBN-13	978-981-4733-47-2 / 9789814733472
Zustand	Neuware