Nonlinear Interpolation And Boundary Value Problems
Regular price
€100.99
14 days return policy
Shipping & Delivery
A01=Johnny L Henderson
A01=Paul W Eloe
Author_Johnny L Henderson
Author_Paul W Eloe
Boundary Value Problems
Category=PBKJ
Category=PBWR
Compactness Condition for Solutions of Differential Equations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Nonlinear Interpolation
Uniqueness Implies Existence
Uniqueness Implies Uniqueness
Product details
- ISBN 9789814733472
- Publication Date: 24 Feb 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
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.
