عنوان

Asymptotic methods in mechanics of solids /

(Number (ISBN

3319183109

(Number (ISBN

9783319183107

Erroneous ISBN

3319183117

Erroneous ISBN

9783319183114

Number

b423447

Title Proper

Asymptotic methods in mechanics of solids /

General Material Designation

[Book]

First Statement of Responsibility

Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Remi Vaillancourt

Specific Material Designation and Extent of Item

xxi, 325 pages :

Other Physical Details

illustrations ;

Dimensions

24 cm

Series Title

International series of numerical mathematics,

Volume Designation

volume 167

ISSN of Series

0373-3149 ;

Text of Note

"Based on the Russian version."

Text of Note

Includes bibliographical references and index

Text of Note

Asymptotic estimates -- Asymptotic estimates for integrals -- Regular perturbation of ordinary differential equations -- Singularly perturbed linear ordinary differential equations -- Singularly perturbed linear ordinary differential equations with turning points -- Asymptotic integration of nonlinear differential equations

0

Text of Note

The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic

Boundary value problems-- Asymptotic theory

Differential equations-- Asymptotic theory

Mathematical physics-- Asymptotic theory

Mechanics, Analytic-- Mathematics

Singular perturbations (Mathematics)

QA

TA

Number

Edition

Class number

Class number

Book number

Bauer, Svetlana M.

Filippov, Sergei B.

Smirnov, Andrei L.,1956-

Tovstik, P. E.

Vaillancourt, Rémi,1934-

Date of Transaction

20150902031013.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y