Items related to Differential Equations with Operator Coefficients:...

Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics) - Hardcover

Kozlov, Vladimir; Maz'ya, Vladimir

 
9783540651192: Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics)
Hardcover
ISBN 10: 3540651195 ISBN 13: 9783540651192
Publisher: Springer, 1999

Synopsis

The first systematic, self-contained presentation of a theory of arbitrary order ODEs 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.

"synopsis" may belong to another edition of this title.

Review

From the reviews of the first edition:

"The book under review 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 ... . this is an excellent book, that contains recent results of the topic, deep theoretical results and various applications to PDE-s. It is warmly recommended to specialists in ODE-s, PDE-s, functional analysis." (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 72, 2006)

Synopsis

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1999
Language
English
ISBN 10 
3540651195
ISBN 13 
9783540651192
Binding
Hardcover
Number of pages
464