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Mathematics and Its Applications

Application of Abstract Differential Equations to Some Mechanical Problems

Authors: Titeux, I., Yakubov, Yakov

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Softcover 98,79 €
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  • ISBN 978-94-010-3784-6
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About this book

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].

Table of contents (5 chapters)

Table of contents (5 chapters)
  • General notions, definitions, and results

    Titeux, Isabelle (et al.)

    Pages 1-39

  • Thermal conduction in a half-strip and a sector

    Titeux, Isabelle (et al.)

    Pages 41-81

  • Elasticity problems in a half-strip

    Titeux, Isabelle (et al.)

    Pages 83-135

  • Completeness of elementary solutions of problems for second and fourth orders elliptic equations in semi-infinite tube domains

    Titeux, Isabelle (et al.)

    Pages 137-179

  • Basis property of elementary solutions for second order elliptic equations in semi-infinite tube domains

    Titeux, Isabelle (et al.)

    Pages 181-194

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-94-007-1080-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 98,79 €
price for Spain (gross)
  • ISBN 978-1-4020-1451-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 98,79 €
price for Spain (gross)
  • ISBN 978-94-010-3784-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Application of Abstract Differential Equations to Some Mechanical Problems
Authors
Series Title
Mathematics and Its Applications
Series Volume
558
Copyright
2003
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-007-1080-1
DOI
10.1007/978-94-007-1080-1
Hardcover ISBN
978-1-4020-1451-2
Softcover ISBN
978-94-010-3784-6
Edition Number
1
Number of Pages
XXII, 209
Topics