APPLICATION OF ABSTRACT DIFFERENTIAL EQUATIONS TO SOME MECHANICAL PROBLEMS by Isabelle Titeux, Yakov Yakubov ( 9781402014512 )

Item Details

Title:

APPLICATION OF ABSTRACT DIFFERENTIAL EQUATIONS TO SOME MECHANICAL PROBLEMS

By:

Format:

Hardback

List price:	£71.00
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ISBN 10:

1402014511

ISBN 13:

9781402014512

Publisher:

SPRINGER-VERLAG NEW YORK INC.

Pub. date:

31 August, 2003

Edition:

2003 ed.

Series:

Mathematics and Its Applications 558

Pages:

209

Description:

The theory of differential operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. This book gives a systematic treatment of the differential equations with application to partial differential equations obtained from elastostatic problems.

Synopsis:

PREFACE The theory of differential-operator equations has been described in various monographs, but the initial physical problem which leads to these equations is often hidden. When the physical problem is studied, the mathematical proofs are either not given or are quickly explained. In this book, we give a systematic treatment of the partial differential equations which arise in elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. Here the methods of operator pencils and differential-operator equations are used. This book is intended for scientists and graduate students in Functional Analy- sis, Differential Equations, Equations of Mathematical Physics, and related topics. It would undoubtedly be very useful for mechanics and theoretical physicists. We would like to thank Professors S. Yakubov and S. Kamin for helpfull dis- cussions of some parts of the book. The work on the book was also partially supported by the European Community Program RTN-HPRN-CT-2002-00274. xiii INTRODUCTION In first two sections of the introduction, a classical mathematical problem will be exposed: the Laplace problem. The domain of definition will be, on the first time, an infinite strip and on the second time, a sector. To solve this problem, a well known separation of variables method will be used. In this way, the structure of the solution can be explicitly found. For more details about the separation of variables method exposed in this part, the reader can refer to, for example, the book by D. Leguillon and E. Sanchez-Palencia [LS].

Illustrations:

XXII, 209 p.

Publication:

Imprint:

Springer-Verlag New York Inc.

Returns:

Returnable

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APPLICATION OF ABSTRACT DIFFERENTIAL EQUATIONS TO SOME MECHANICAL PROBLEMS (PB)

DIFFERENTIAL-OPERATOR EQUATIONS (HB)