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Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics) - Hardcover
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.
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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.
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Differential Equations with Operator Coefficients
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Differential Equations with Operator Coefficients : With Applications to Boundary Value Problems for Partial Differential Equations
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Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics)
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Differential Equations With Operator Coefficients : With Applications to Boundary Value Problems for Partial Differential Equations
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Differential Equations with Operator Coefficients: with Applications to Boundary Value Problems for Partial Differential Equations (Springer Monographs in Mathematics)
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Differential Equations with Operator Coefficients
Published by
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1999
ISBN 10: 3540651195
ISBN 13: 9783540651192
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Hardcover
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Condition: New. 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. Series: Springer Monographs in Mathematics. Num Pages: 464 pages, biography. BIC Classification: PBF; PBKJ. Category: (G) General (US: Trade); (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 25. Weight in Grams: 829. . 1999. Hardback. . . . . Seller Inventory # V9783540651192
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Differential Equations with Operator Coefficients
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Springer Berlin Heidelberg, 1999
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ISBN 13: 9783540651192
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Gebunden. Condition: New. 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 . Seller Inventory # 4897076
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Differential Equations with Operator Coefficients (Hardcover)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1999
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ISBN 13: 9783540651192
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Hardcover. Condition: new. Hardcover. 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. The first systematic, self-contained presentation of a theory of arbitrary order ODEs with unbounded operator coefficients in a Hilbert or Banach space. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540651192
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