Differential Equations with Operator Coefficients

Name: Differential Equations with Operator Coefficients
SKU: 3168382
Price: 299.00 NZD
Availability: InStock

with Applications to Boundary Value Problems for Partial Differential Equations

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Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

This book is the first systematic and self-contained presentation of a theory of arbitrary order ordinary differential equations with unbounded operator coefficients in a Hilbert or Banach space, developed over the last 10 years by the authors. It deals with conditions of solvability, classes of uniqueness, estimates for solutions and asymptotic representations of solutions at infinity. The authors show how the classical asymptotic theory of ODEs. with scalar coefficients can be extended to very general equations with unbounded operator coefficients. In contrast to other works the authors' approach enables them to obtain asymptotic formulae for solutions under weak conditions on the coefficients of equations. The abstract results are complemented by many new applications to the theory of PDEs. An appendix provides a systematic treatment of the theory of holomorphic operator functions.

Release date NZ

January 19th, 1999

Author

Audiences

General (US: Trade)
Postgraduate, Research & Scholarly
Undergraduate

Illustrations

XX, 444 p.

Pages

444

Series

Springer Monographs in Mathematics

Dimensions

156x234x25

ISBN-13

9783540651192

Product ID

3168382

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