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

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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.

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Product Details

  • ISBN-13: 9781402014512
  • Publisher: Springer Netherlands
  • Publication date: 8/31/2003
  • Series: Mathematics and Its Applications (closed) Series, #558
  • Edition description: 2003
  • Edition number: 1
  • Pages: 209
  • Product dimensions: 0.56 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Ch. 1 General notions, definitions, and results 1
Ch. 2 Thermal conduction in a half-strip and a sector 41
Ch. 3 Elasticity problems in a half-strip 83
Ch. 4 Completeness of elementary solutions of problems for second and fourth orders elliptic equations in semi-infinite tube domains 137
Ch. 5 Basis property of elementary solutions for second order elliptic equations in semi-infinite tube domains 181
Problems 195
References 196
List of notations 201
Subject index 203
Author index 207
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