Application of Abstract Differential Equations to Some Mechanical Problems is popular PDF and ePub book, written by I. Titeux in 2011-09-27, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Application of Abstract Differential Equations to Some Mechanical Problems can be Read Online from any device for your convenience.
Application of Abstract Differential Equations to Some Mechanical Problems Book PDF Summary
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].
Detail Book of Application of Abstract Differential Equations to Some Mechanical Problems PDF
- Author : I. Titeux
- Release : 27 September 2011
- Publisher : Springer
- ISBN : 940071081X
- Genre : Mathematics
- Total Page : 209 pages
- Language : English
- PDF File Size : 7,9 Mb
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