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Nonlinear Interpolation and Boundary Value Problems

Nonlinear Interpolation and Boundary Value Problems

Hardcover

Series: Trends in Abstract and Applied Analysis, Book 2

General Mathematics

ISBN10: 9814733474
ISBN13: 9789814733472
Publisher: World Scientific Publishing Company
Published: Jan 10 2016
Pages: 248
Weight: 1.30
Height: 0.90 Width: 6.10 Depth: 9.10
Language: English

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.

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General Mathematics