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Nonlinear Theory of Shallow Shells : Applied Mathematical Sciences - Iosif Izrailevich Vorovich

Nonlinear Theory of Shallow Shells

Applied Mathematical Sciences

Hardcover

Published: 4th December 1998
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This book presents rigorous treatment of boundary value problems in nonlinear theory of shallow shells. The consideration of the problems is carried out using methods of nonlinear functional analysis.

Preface to the English Edition
Preface to the Russian Edition
From the Editor
The Main Boundary Value Problems in the Nonlinear Theory of Shallow Shellsp. 1
General Mathematical Questionsp. 60
Topological Methods Applied to Solvability of the Main Boundary Value Problems of the Nonlinear Theory of Shallow Shells in Displacementsp. 107
The Topological Method in the Problem of Solvability of the Main Boundary Value Problems in the Nonlinear Theory of Shallow Shells with an Airy Stress Functionp. 145
The Variational Approach to the Problem of Solvability of Boundary Value Problems of Nonlinear Shallow Shell Theoryp. 181
Numerical-Analytical Methods in the Nonlinear Theory of Shallow Shellsp. 206
Direct Methods in the Nonlinear Theory of Shallow Shellsp. 229
Formulation of the Problem of Stability. Global Uniqueness of Solutions. Stiffness of Shells. Well-Posedness Classesp. 263
Stability in the Large of the Membrane State of a Shallow Shell. Existence of the Lower Critical Valuep. 296
A Probabilistic Approach to the Problem of Stability of Shallow Shellsp. 343
Some Unsolved Problems of the Mathematical Theory of Shellsp. 353
Referencesp. 355
List of Symbolsp. 375
Indexp. 381
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387983394
ISBN-10: 0387983392
Series: Applied Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 390
Published: 4th December 1998
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.65