Application of Abstract Differential Equations to Some Mechanical Problems / Edition 1

Application of Abstract Differential Equations to Some Mechanical Problems / Edition 1

by I. Titeux, Yakov Yakubov
     
 

ISBN-10: 1402014511

ISBN-13: 9781402014512

Pub. Date: 08/31/2003

Publisher: Springer Netherlands

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 differential equations with

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Overview

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 differential equations with application to partial differential equations obtained from elastostatic problems. In particular, we study problems which are obtained from asymptotic expansion with two scales. We approximate and, when it is possible, expand the solution of problems by elementary solutions. This book is intended for scientists (mathematicians in the field of ordinary and partial differential equations, differential-operator equations; theoretical mechanics; theoretical physicists) and graduate students in Functional Analysis, Differential Equations, Equations of Mathematical Physics, and related topics.

Product Details

ISBN-13:
9781402014512
Publisher:
Springer Netherlands
Publication date:
08/31/2003
Series:
Mathematics and Its Applications (closed) Series, #558
Edition description:
2003
Pages:
209
Product dimensions:
6.69(w) x 9.61(h) x 0.36(d)

Table of Contents

Preface
Introduction
Ch. 1General notions, definitions, and results1
Ch. 2Thermal conduction in a half-strip and a sector41
Ch. 3Elasticity problems in a half-strip83
Ch. 4Completeness of elementary solutions of problems for second and fourth orders elliptic equations in semi-infinite tube domains137
Ch. 5Basis property of elementary solutions for second order elliptic equations in semi-infinite tube domains181
Problems195
References196
List of notations201
Subject index203
Author index207

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